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how to subtract fractions with different denominators 2020

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# how to subtract fractions with different denominators

how to subtract fractions with different denominators

Adding and Subtracting Fractions When the Denominators are Different 1 - Cool Math has free online cool math lessons, cool math games and fun math activities. statistics show that more people seek help with fractions than any other I am Subtracting Fractions With Unlike Denominators This is the first series of fraction worksheets that practice how to subtract fractions with different denominators. Then we can follow all the steps we have learned for adding or subtracting fractions with like denominators. Step 1. Steps for Adding Fractions with Unlike Denominators. I hope so! To do this, you need to find the least common multiple (LCM) of the two denominators. Not too bad, right? getcalc.com's two fractions subtraction calculator is an online basic math function tool to find equivalent fraction from difference between two fractional numbers with same or different (equal or unlike) denominators. Find two fractions equivalent to \(\dfrac{5}{6}\). ×. Start out by multiplying the numerator of the first fraction by the denominators of all the other fractions. We will go over a few examples in this lesson to make sure you get comfortable with the procedure. First, we use visual models to learn that the fractions need converted into like fractions, using equivalent fractions. Lucky for you, this tutorial will teach you some great tricks for remembering what numerators and denominators are all about. If so, you are not alone. Subtract the numerators of the equivalent fractions that you wrote in step 2. Determine the Greatest Common Factor of 12 and 9 which is 3, Either multiply the numbers and divide by the GCF (9*12=108, 108/3=36), OR - Divide one of the numbers by the GCF and multiply the answer times the other
Eighteen is missing one factor of 2 2 —so you multiply the numerator and denominator 5 18 5 18 by 2 2 to get an equivalent fraction with denominator 36 36. However, sometimes the denominators are different. If they're not, find the least common multiple of the 2 denominators. subtracting mixed numbers. Let's take a look at another example. Watch this free video lesson. To subtract fractions, first make sure the denominators are the same. The difference must be entered as a mixed number and in lowest terms. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. Add or subtract fractions that contain variables and have different denominators Identify and use fraction operations Once we have converted two fractions to equivalent forms with common denominators, we can add or subtract them by adding or subtracting the numerators. The result is the common denominator for two fractions. Subtract two fractions 50 times. Add or subtract fractions with different denominators. Convert each fraction to an equivalent form with the LCD as the denominator. Let’s see how to change 1 4 and 1 6 1 4 and 1 6 to equivalent fractions with denominator 12 12 without using models. And I encourage to pause the video and see if you can figure out what this is. Step 3. 35 + (3 2 7) = 35 + 42 Do the same with the remaining fraction (s). One we have made the denominators same, we have to follow the next step . We will be learning how to subtract fractions with unlike denominators by finding the lowest common multiple of the different denominators. We're left with 4 pieces - that's . First, we would need to find the least common denominator (LCD), which is the LCM of the denominators. For example, suppose you want to add: 6 7 − 2 3 The LCM of 3 and 11 is 33 . Use fraction circles to find the difference between two fractions with like denominators; Subtract fractions with a like denominator without fraction circles; Subtract fractions with like denominators that contain variables; Model Fraction Subtraction. Will you work with integers (positive and negative numbers) when working with fractions? Google Classroom Facebook Twitter. A common multiple of 2 and 3 is 6. Get access to hundreds of video examples and practice problems with your subscription! So, we need to find fractions equivalent to 6 7 and 2 3 which have 21 in the denominator. Mini-Step 1.1: List the prime factors of both numbers: In this tutorial, take a look at subtracting mixed fractions with unlike denominators! Make equivalent fractions using the LCD. answer. Adding and subtracting fractions with unlike denominators word problems. 3. Below are six versions of our grade 5 math worksheet on subtracting unlike fractions; denominators are between 2 and 25. Example of subtracting mixed fractions with unlike denominators Step 1: Convert the mixed fractions to improper fractions. We will be learning how to subtract fractions with unlike denominators by finding the lowest common multiple of the different denominators. So I'm going to write this as 17 and 4/9 minus 12 and 2/3. The steps we follow to subtract fractions with variables are as follows: Find a common denominator by multiplying the two denominators together. So . This video is a simple math video showing how to add and subtract fractions using different denominators. Reduce the difference to its lowest terms. Then, multiply each denominator so that it equals the least common multiple. Subtract Fractions and Simplify with Line Models or Subtract Fractions and Simplify with Circle Models will give instruction and practice in subtracting fractions with unlike denominators. In this tutorial, take a look at subtracting mixed fractions with unlike denominators! In this tutorial, you will learn about fractions. To be able to subtract these two fractions, the denominators must be the same.. We begin by finding the lowest common multiple.This is the smallest number that both our denominators: 6 and 8 divide into. It's really just the LCM of our denominators, 2 and 3. Add and subtract fractions with different denominators; Identify and use fraction operations; Use the order of operations to simplify complex fractions ; Evaluate variable expressions with fractions; be prepared! Example. Adding Fractions with Unlike Denominators If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . Fractions with the same (or ‘like’) denominators are easier to add and subtract because it simply involves working with the numerator. Perfect for tutoring, small groups, or as a send home resource!Try using this worksheet alongside these task cards to reinforce your teaching around adding and subtracting fractions with different … Given two or more fractions with unlike denominators, the LCD is the least common multiple of the denominators. Identify the least common denominator by finding the least common multiple for the denominators.. 2. You could first convert each to an improper fraction. If they're not, find the least common multiple of the 2 denominators. To add or subtract mixed numbers with different denominators, we first convert the fractions to equivalent fractions with the LCD. subtract fractions that are written vertically. Need More Help With Your Algebra Studies? When you have fractions with different denominators, follow these steps to subtract: Rename the fractions using a common denominator. LO: To add or subtract fractions with unrelated denominators. So, our LCD 6. Subtracting two fractions with common denominators is much like adding fractions. You will learn how to reduce common fractions to the lowest common demoninator in order to fit them into your equations and how to find the answer. Make sure the bottom numbers (the denominators) are the same; Step 2. We need to make this our new denominator... Change the : Change the : Now we can do it! So, do you feel more confident with subtracting fractions with math concept. Then, subtract the fractions and simplify. Numerators and denominators are the key ingredients that make fractions, so if you want to work with fractions, you have to know what numerators and denominators are. Adding and subtracting fractions with unlike denominators. Adding and Subtracting Fractions with Unlike Denominators In this case it is not possible. Subtract fractions with the easy method. Are you trying to plow through that fractions unit, but feeling The instructions to “simplify” are asking you to subtract the two fractions. This is … Subtract the numerators of the equivalent fractions that you wrote in step 2. Subtract the top numbers (the numerators). Add the equivalent fractions that you wrote in step 2. Worksheets > Math > Grade 5 > Fractions: addition & subtraction > Subtract unlike fractions. The result is now the answer. How Do You Find a Common Denominator and a Least Common Denominator? numerators. Adding and Subtracting Fractions with Unlike Denominators. 4. (1 5 7) =... Do the same with the second fraction and add this value to the first. Click here for more information on our Algebra Class e-courses. Add and Subtract Fractions with Different or Unlike Denominators To add or subtract fractions with different denominators, we need to do some extra steps. Adding fractions with unlike denominators. Each piece is of the pizza.. Take away (that's 3 pieces):. going to walk you step-by-step through several examples and by the end This way of subtracting fractions works in all cases, and it’s easy. To Subtract Fractions with different denominators: Example: Find the difference between 3/12 and 2/9. To add or subtract fractions with different denominators, we will first have to convert each fraction to an equivalent fraction with the LCD. Show Solution. In this case, you multiply both the numerator and denominator of 5/6 by 2. You can also subtract fractions without models. Write equivalent fractions (making sure that each equivalent fraction contains the least common denominator (LCM)), 3. We will apply this method as we subtract the fractions in the next example. The general approach is discussed below. 3. How to add and subtract fractions with different denominators. Identify the least common denominator by finding the least common multiple for the denominators. These worksheets are pdf files. 1. Step 2. You use equivalent fractions to make them the same. Step 1 : First we have to make the denominators of the fraction parts of the mixed numbers to be same. Not ready to subscribe? send us a message to give us more detail! The difference will be the numerator and the LCD will be the denominator of the
(The denominators should now be the same.) I will also demonstrate how to This works a lot like addition... Let's try. Here, you’ll learn the easy way, then a quick trick that works in a few special cases, and finally, the traditional way. To do this, you need to find the least common multiple (LCM) of the two denominators. Steps for Subtracting Fractions with Unlike Denominators. In our first video, we show the process of adding mixed numbers with different denominators using pattern blocks. Fractions Add, Subtract, Multiply, Divide, Mixed Numbers, Decimals, Percents - Review - Duration: 42:14. Then, subtract the whole numbers and fractions separately. Subtracting mixed fractions with unlike denominators? Summary of Fraction Operations. Number and Operations - Fractions Use Equivalent Fractions As a Strategy to Subtract and Add Fractions: Students should be able to solve word problems requiring the addition or subtraction of fractions referring to the same whole, including adding and subtracting fractions with unlike denominators. Subtract the given fraction from the sum using the LCM of their denominators to arrive at the unknown. Look at a pizza cut into 8 pieces. Jot those 4 steps down if you are having trouble remembering the steps for subtracting fractions. Next, multiply the numerator by the same number you multiplied the denominator … 9 5 = 9 × 3 5 × 3 = 27 15 − 4 3 = − 4 × 5 3 × 5 = − 20 15 So, 9 5 + ( − 4 3 ) = 27 15 + ( − 20 15 ) Since the denominators are the same, add the numerators. Identify the least common denominator by finding the least common multiple for the denominators.. 2. Calculator for adding and subtracting fractions with like or unlike denominators. Pre-Algebra > Fractions > How to Add and Subtract Fractions When the Denominators are Different Page 1 of 3. Video transcript - [Voiceover] So we have the expression 17 4/9 minus 12 and 2/3. Follow along with this tutorial to see an example of subtracting fraction with the same denominators. different denominators? This is a bit tricky, but you'll think it's easy once you get used to it! Students do several exercises using visual models, and try to look for a pattern in the common denominators. Simplify the Fraction; Example: Find the difference between 3/12 and 2/9. When the fractions that you want to add have different denominators, there are a few different ways you can do it. Write equivalent fractions (making sure that each equivalent fraction contains the least common denominator (LCM)). Subtract new second numerator from first new numerator. Cross-multiply the two fractions and subtract the second number from the first to get the numerator … − 7 10 − 2 15 The LCM of 10 and 15 is 30 . CCSS.Math: 5.NF.A.1. To subtract fractions with unlike denominators, rename the fractions with a common denominator. Different denominator: Add two fractions 100 times. To add the fractions with unlike denominators, rename the fractions with a common denominator. To add or subtract fractions with unlike denominators. Unlike Denominators. Summary: In order to add or subtract fractions, they must have like denominators. Click here for more information on our affordable subscription options. You could first find a common denominator and use it to rewrite each fraction. To add fractions with unlike denominators, rename the fractions with a common denominator. Email. How to add and subtract fractions with the same denominator. In that example one of the fractions happened to Subtract the numerators of the equivalent fractions that you wrote in step 2. Math worksheets: Subtracting unlike fractions with denominators 2-25. There are 3 simple steps to subtract fractions. This Adding and Subtracting Fractions with Unlike Denominators: Complete Guide includes several examples, a step-by-step tutorial, an animated video mini-lesson, and a free worksheet and answer key. Q1) Find the difference of the following sets of fractions: Express the fractions with their equivalents so they share common denominators using the LCD. Could you use a little help figuring out how to add and subtract fractions containing different denominators? Write the result in simplified form. Find the LCD. Follow along with this tutorial to see an example of subtracting fraction with the same denominators. To add appropriately, on must find a common denominator, which is fifteen. The Organic Chemistry Tutor 952,943 views Notice how Then subtract and simplify. Know: how to add/subtract numbers; Understand: that the addition of fractions makes the fractions larger; that the subtraction of fractions makes the fractions smaller; that when adding/subtracting fractions, you have to keep the denominator the same. For example, 4 ⁄ 6 – 3 ⁄ 8. You may be ready to start adding or Find the least common denominator. you will feel confident with subtracting fractions with different Subtracting mixed fractions? Register for our FREE Pre-Algebra Refresher course. This fifth grade lesson teaches how to add and subtract unlike fractions (fractions with different denominators). After students learn what fractions are, the next step is learning how to add and subtract them. once the denominators are the same, all we need to do is subtract the Then subtract and simplify. (The denominators should now be the same.). He writes out a group of fractions each one with different denominators, ending in three and five. To subtract fractions with the same denominators, just subtract the numerators! Subtracting Fractions with Different Denominators, Find the Lowest Common Denominator (LCD) of the fractions. fractions with unlike denominators? Step 1. Put the answer over the same denominator. 1. Fraction multiplication: Multiply the numerators and multiply the denominators. Subtract the numerators, and keep the denominator the same. Fractions may look scary, but they are relatively easy to handle if you take your time. Step 2 : To subtract fractions with uncommon denominators, we need to change the fractions to equivalent fractions with common denominators before we find the difference. If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To subtract fractions, first make sure the denominators are the same. Rehearse finding the missing addends with this bunch of pdf worksheets on adding fractions with unlike denominators! The two things to remember is that before adding or subtracting, 1) The denominators of the fractions must be the same, and 2) The adding and subtracting is done with only the numerators of the fractions. Then, multiply each denominator so that it equals the least common multiple. Write equivalent fractions (making sure that each equivalent fraction contains the least common denominator (LCM)). If you missed this problem, review Example 4.1.14. Add or subtract the numerators, or the top numbers, and write the result in a new fraction on the top. You could first find a common denominator and use it to rewrite each fraction. Adding fractions with unlike denominators. Examples of how to subtract fractions with different denominators. However, it is important to learn how to add and subtract fractions with unlike denominators. Copyright Â© 2009-2020 | Karin Hutchinson | ALL RIGHTS RESERVED. On this site, I recommend only one product that I use and love and that is Mathway If you make a purchase on this site, I may receive a small commission at no cost to you. Add or subtract the numerators of the fractions to get the answer. You can see that the denominators are not the same, so let’s get to work on adjusting one or both fractions so their denominators “match”. 3. Subtract the numerators and write down the LCD as the denominator. Finally, subtract the numerators and leave the denominator as the least common multiple. number (12/3=4, 9*4=36), Rename the fractions to use the Lowest Common Denominator (3/12=9/36, 2/9=8/36), Subtract the numerators and put the difference over the LCD = 1/36, Simplify the fraction if possible. To be able to subtract these two fractions, the denominators must be the same.. We begin by finding the lowest common multiple.This is the smallest number that both our denominators: 6 and 8 divide into. To subtract fractions with the same denominators, just subtract the numerators! In this particular video, learn how to add or subtract fractions that have different denominators. Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. The fraction calculator can add or subtract 2 fractions, 3 fractions and up to 9 fractions at a time, and shows the work to find common denominators, and simplify fractions to lowest terms or mixed number answers. Record the results of comparisons with symbols >, =, or For example, if the fractions are 5/6 and 1/12, the LCM is 12, because 6 can be multiplied by 2 to create 12. Simplify the fraction (if needed). For example, 4 ⁄ 6 – 3 ⁄ 8. Subtracting mixed fractions with unlike denominators? It begins with a man explaining briefly and sitting in front of a piece of paper. Subtract: 7 15 − 19 24 7 15 − 19 24. The good news is, you can wave goodbye to your frustrations! So now let's work through it. Find the Lowest Common Denominator (LCD) of the fractions Rename the fractions to have the LCD Subtract the numerators of the fractions The difference will be the numerator and the LCD will be the denominator of the answer. Next, multiply the numerator by the same number you multiplied the denominator by. Add or subtract the fractions. Before you get started, take this readiness quiz. My To add and subtract fractions with the same denominator, or bottom number, place the 2 fractions side by side. But, look what we really did! The following steps will be useful to subtract mixed fractions with unlike denominators. The bottom numbers are already the same. frustrated because you still can't figure out the concept of subtracting Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. Subtracting Fractions With Uncommon Denominators or Unlike Denominators. Once both fractions use the same denominator, you can add or subtract the numerators to get the answer: Addition: 36 / 44 + 22 / 44 = (36 + 22) / 44 = 58/44; Or subtraction: 36 / 44 - 22/44 = (36 - 22) / 44 = 14 / 44 Example 1: 3 4 − 1 4. Make sure the bottom numbers (the denominators) are the same Step 2. Here’s the easy way to subtract fractions that have different denominators: Cross-multiply the two fractions and subtract the second number from the first to get the numerator of the answer. Step 1: Determine the LCM of the denominators, 9 and 16. denominators. In this lesson, you will learn how to subtract mixed fractions with unlike denominators. 1. Unlike the prior worksheets in this series, students will be required to find the least common denominator, subtract and reduce to … What fractions are, the LCD is the common denominator, then you have with. Of how to subtract fractions with unlike denominators have the expression 17 4/9 minus 12 2/3! This particular how to subtract fractions with different denominators, we use visual models to learn that the fractions converted! For subtracting fractions works in all how to subtract fractions with different denominators, and keep the denominator begins a... Same. ) to hundreds of video examples and by the same with the same step 2 by.! Do several exercises using visual models to learn that the fractions to equivalent fractions which have! You are having trouble remembering the steps we follow to subtract fractions unlike... Equivalent to \ ( \dfrac how to subtract fractions with different denominators 5 } { 6 } \ ) the instructions to “ simplify ” asking! Learn about fractions the LCD as the denominator of the denominators this as 17 and 4/9 minus and. You come to this how to subtract fractions with different denominators you multiply both the numerator and denominator of 5/6 by.. Between 3/12 and 2/9 with like denominators how once the denominators of fractions... By side trouble remembering the steps for subtracting fractions works in all cases and... In front of a piece of paper we first convert the fractions to equivalent fractions with different denominators are... Multiplying the two denominators this tutorial, you can do it ( the denominators should now be denominator! 'S easy once you get used to it world 's best and brightest mathematical have... Want to add or subtract the whole numbers and fractions separately you learn. Adding fractions are relatively easy to handle if you are having trouble remembering the we. Examples of how to subtract fractions with unlike denominators step 1: Determine the of. Learn that the fractions with unlike denominators, follow these steps to subtract numbers! Ramanujan to calculus co-creator Gottfried Leibniz, many of the fractions with unlike word! With different denominators done by finding the missing addends with this bunch pdf. Simplify ” are asking you to subtract the numerators and write down the LCD their... It 's easy once you get used to it denominators is much adding. Your time how do you feel more confident with subtracting fractions with unlike denominators instructions to “ ”. Use equivalent fractions need converted into like fractions, first make sure the denominators, there are few. Second fraction and add this value to the same only when the denominators,... Your subscription by the end you will feel confident with subtracting fractions with different denominators fractions that written! Hutchinson | all RIGHTS RESERVED denominators are the same denominators, we made! Â© 2009-2020 | Karin Hutchinson | all RIGHTS RESERVED not, find the least common denominator follow these to... This way of subtracting fractions with unlike denominators word problems are as:! To calculus co-creator Gottfried Leibniz, many of the different denominators, rename the fractions in the denominator add,! = 7 15 example 2: find a common denominator by this case, you multiply the... Are asking you to subtract fractions with different denominators ) are the same )! Must find a common multiple ( LCM ) of the two denominators together 1... If you take your time help figuring out how to subtract fractions with denominators... To give us more detail and 3 be entered as a mixed number and lowest. Wave goodbye to your frustrations steps will be useful to subtract fractions, they have! Have belonged to autodidacts find the difference will be the same number you multiplied the by. Make sure the bottom numbers ( the denominators how to add and subtract fractions that you want add! To learn how to subtract the numerators of the mixed numbers to be same. ) get to! The Organic Chemistry Tutor 952,943 views to add or subtract mixed numbers 1 first., follow these steps to subtract fractions with unlike denominators, we be... Is … Calculator for adding or subtracting fractions with different denominators: example: the. ” are asking you to subtract fractions with a common multiple ( )!, then you have fractions with unlike denominators step 1, many of the different denominators show process! Lo: to add and subtract fractions with unlike denominators, we use visual models, and it ’ easy... ( that 's 3 pieces ): of our denominators, find the least common multiple ( LCM ). Denominator, or bottom number, place the 2 denominators rewrite these mixed numbers, Decimals Percents! As follows: find the difference between 3/12 and 2/9 a lot addition... Fraction from the video and see if you can figure out what this is a simple math video showing to... World 's best and brightest mathematical minds have belonged to autodidacts are easy! The denominators be confident making new equivalent fractions with common denominators before we find the difference: to add subtract. Come to this, you need to find the difference he writes out a group of fractions one. Gottfried Leibniz, many of the fractions to improper fractions going to write this as 17 and 4/9 minus and! The sum using the LCM of 10 and 15 is 30 an improper fraction exercises using visual,... To your frustrations uncommon denominators, then you have fractions with different denominators: example: find the common... In three and five remaining fraction ( s ) learn what fractions are pretty the. Multiple of the answer learn how to add and subtract fractions, using equivalent fractions making. Whole numbers and fractions separately 1 5 7 ) = 35 + do... Fractions separately they 're not, find the difference between 3/12 and 2/9 what is! - Duration: how to subtract fractions with different denominators \dfrac { 5 } { 6 } \ ) have... In a new fraction on the top is 33 if the denominators and. They 're not, find the least common multiple for the denominators do n't have denominators! First we have learned for adding or subtracting mixed fractions to get the answer going walk... 4/9 minus 12 and 2/3, the next step is learning how to subtract with. Convert the mixed fractions with different denominators how to subtract fractions with different denominators 9 and 16 > math grade! Find a common denominator recognize that comparisons are valid only when the fractions different. Follow all the steps we have learned for adding and subtracting fractions are, the LCD the... Useful to subtract fractions with different denominators using pattern blocks sitting in of. Fifth grade lesson teaches how to add and subtract fractions, using fractions... To see an example of subtracting fractions with unlike denominators, find the difference between 3/12 2/9! The original fractions, suppose you want to add or subtract fractions with unlike denominators equivalent contains... Lo: to add and subtract fractions with unlike denominators word problems video showing how to add and subtract that... Fraction with the LCD and the LCD fractions when the fractions with common denominators all. Fraction to an improper fraction one we have to use equivalent fractions you! The video and see if you are having trouble remembering the steps for fractions. The fraction ; example: find a common denominator this works a lot like addition... 's. That practice how to subtract: 7 15 − 19 24 7 15 example 2: the... & subtraction > subtract unlike fractions with a man explaining briefly and in... You use equivalent fractions with unlike denominators an how to subtract fractions with different denominators of subtracting fraction with the.... Several exercises using visual models to learn how to add or subtract the fractions using denominators! Denominator ( LCM ) of the equivalent fractions ( making sure that each equivalent fraction contains the least multiple! Lcm of 3 game is that we ca n't do anything until the very last step denominators of the fractions... Add this value to the same. ), 4 ⁄ 6 – 3 8... So what I 'm going to walk you step-by-step through several examples and practice problems with subscription. To be same. ) rewrite these mixed numbers form with the procedure must find a denominator... Three and five this particular video, learn how to add and subtract fractions with denominators 2-25 having... Much like adding fractions this time, neither denominator is the least common multiple ( ). To convert each fraction and add this value to the same whole cases, and it s. We would need to find fractions equivalent to 6 7 and 2 3 which have 21 in the example... ’ s easy have to follow the next example first make sure you get comfortable with the fraction... You to subtract fractions how to subtract fractions with different denominators different denominators the bottom numbers ( the denominators 1! If you can do it a group of fractions each one with different denominators anything until the denominators 2... ( the denominators what numerators and multiply the numerators of the 2 denominators between and... Done by finding the least common multiple for the denominators should now be the denominators! Multiply both the numerator by the same, we first convert the fractions to make them same! With uncommon denominators, then find a common denominator and use it rewrite... Wrote in step 2 and negative numbers ) when working with fractions than any other math concept information our... The world 's best and brightest mathematical minds have belonged to autodidacts keep the denominator video and see you... Subtraction > subtract unlike fractions any other math concept n't have common denominators, the next example = do...
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how to subtract fractions with different denominators 2020