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Homework Sheet 8 Equivalent Fractions Answers: Fun and Easy Activities

  • gingferbadeticno
  • Aug 17, 2023
  • 6 min read


This worksheet has rows of equivalent fractions, each with either the numeratoror denominator left blank. One fraction in the row of equivalent fractions will be written withboth the numerator and denominator. The student will fill in the missing numerators and denominatorsfor the equivalent fractions. This fraction worksheet will generate 10 Equivalent Fractions problems per worksheet.


Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value. For example, 9/12 and 6/8 are equivalent fractions because both are equal to 3/4 when simplified.




homework sheet 8 equivalent fractions answers



All equivalent fractions get reduced to the same fraction in their simplest form as seen in the example given above. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent.


Two or more fractions are said to be equivalent if they are equal to the same fraction when simplified. For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which on simplification, result in the same fraction, that is, 1/5.


Equivalent fractions are defined as those fractions which are equal to the same value irrespective of their numerators and denominators. For example, both 6/12 and 4/8 are equal to 1/2, when simplified, which means they are equivalent in nature.


Example: 1/2, 2/4, 3/6, and 4/8 are equivalent fractions. Let us see how their values are equal. We will represent each of these fractions as circles with shaded parts. It can be seen that the shaded parts in all the figures represent the same portion if seen as a whole.


Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number. This is the reason why these fractions get reduced to the same number when they are simplified. Let us understand the two ways in which we can make equivalent fractions:


To find the equivalent fractions for any given fraction, multiply the numerator and the denominator by the same number. For example, to find an equivalent fraction of 3/4, multiply the numerator 3 and the denominator 4 by the same number, say, 2. Thus, 6/8 is an equivalent fraction of 3/4. We can find some other equivalent fractions by multiplying the numerator and the denominator of the given fraction by the same number.


To find the equivalent fractions for any given fraction, divide the numerator and the denominator by the same number. For example, to find an equivalent fraction of 72/108, we will first find their common factors. We know that 2 is a common factor of both 72 and 108. Hence, an equivalent fraction of 72/108 can be found by dividing its numerator and denominator by 2. Thus, 36/54 is an equivalent fraction of 72/108. Let us see how the fraction is further simplified:


We need to simplify the given fractions to find whether they are equivalent or not. Simplification to get equivalent numbers can be done to a point where both the numerator and denominator should still be whole numbers. There are various methods to identify if the given fractions are equivalent. Some of them are as follows:


Note: If the fractions are NOT equivalent, we can check the greater or smaller fraction by looking at the numerator of both the resultant fractions. Hence, this method can also be used for comparing fractions.


We can see that the shaded portions of both the circles depict the same value. In other words, it can be seen that the shaded parts in both the figures represent the same portion if seen as a whole. Hence, the given fractions are equivalent.


Charts and tables are often used to represent concepts in a better way since they serve as a handy reference for calculations and are easier to understand. Anchor charts and tables, like the one given below, make it easier for the students to understand equivalent fractions. Let us use the following chart to find the equivalent fractions of 1/4.


To check if the given fractions are equivalent, we will make the denominators the same by multiplication. The denominators of the fractions 12/20 and 22/30 are 20 and 30. The LCM of the denominators is 60. Let us make the denominators of both the fractions equal to 60, by multiplying them with the suitable numbers: 12/20=\(\dfrac12 \times 320 \times 3\)= 36/60, 22/30=\(\dfrac22 \times 230 \times 2\)= 44/60. Here, it can be seen that 36 is not equal to 44, that is 36


This can be checked by the cross multiplication method. If we cross multiply the given fractions, we will get 20 22 = 440, and 12 30 = 360. We can see that 440 is not equal to 360. Therefore, 12/20 and 22/30 are not equivalent fractions.


Solution: Let us check the equivalence of the given fractions by the cross multiplication method. If we cross multiply the given fractions, we will get 12 3 = 36, and 2 18 = 36. We can see that we get the same product, that is, 36. Therefore, 2/12 and 3/18 are equivalent fractions.


Two or more fractions are said to be equivalent fractions if they are equal to the same value irrespective of their numerators and denominators. For example, 2/4 and 8/16 are equivalent fractions because they get reduced to 1/2 when simplified.


There can be many examples of equivalent fractions, like, 8/12 and 6/9 are equivalent fractions because they get reduced to the same fraction (2/3) when simplified. Similarly, 4/7 and 28/49 are also equivalent fractions.


If the given fractions are simplified and they get reduced to a common fraction, then they can be termed as equivalent fractions. Apart from this, there are various other methods to identify whether the given fractions are equivalent or not. Some of them are as follows:


When two fractions are equivalent, it means they are equal to the same value irrespective of their different numerators and denominators. In other words, when they are simplified they get reduced to the same fraction.


Any two fractions can be considered to be equivalent if they are equal to the same value. There are various methods to find out if the fractions are equivalent. The basic method is by reducing them. If they get reduced to the same fraction they are considered to be equivalent.


Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number. This is the reason why these fractions get reduced to the same number when they are simplified. For example, let us write an equivalent fraction for 2/3. We will multiply the numerator and denominator by 4 and we will get (2 4)/(3 4) = 8/12. Therefore, 8/12 and 2/3 are equivalent fractions.


In order to write the equivalent fraction for 6/8, let us multiply the numerator and denominator by 2 and we will get (6 2)/(8 2) = 12/16. Therefore, 6/8 and 12/16 are equivalent fractions. Now, let us get another equivalent fraction for 6/8, by dividing it by a common number, say, 2. After dividing the numerator and denominator by 2 and we will get (6 2)/(8 2) = 3/4. Therefore, 6/8 and 3/4 are equivalent fractions.


In order to find the equivalent fractions of 1/4, let us multiply the numerator and denominator by the same number. So, we will multiply it by 2 which will be, (1 2)/(4 2) = 2/8. Now, to find another equivalent fraction for 1/4, let us multiply it by 3. This will be, (1 3)/(4 3) = 3/12. So, we get two equivalent fractions for 1/4, and they are 2/8 and 3/12.


In order to find the equivalent fractions of 2/3, let us multiply the numerator and denominator by the same number. So, we will multiply it by 5 which will be, (2 5)/(3 5) = 10/15. Now, to find another equivalent fraction for 2/3, let us multiply it by 6. This will be, (2 6)/(3 6) = 12/18. So, we get two equivalent fractions for 2/3, and they are 10/15 and 12/18.


What are equivalent fractions? Equivalent fractions have the same value, even though they use different numbers. For example, 1/2 has the same value as 4/8. With this worksheet, your third graders will master this math skill by looking at fraction drawings and counting the number of shaded parts to find the missing denominator.


With this worksheet generator, you can make worksheets for comparing two fractions or for ordering 3-8 fractions. The worksheet can include problems where you compare fractions with the same denominator, fractions with the same numerator, comparisons to 1/2 or to 1, and so on.


Equivalent fractions are on of the earliest concepts students need to learn before proceeding to reducing fractions, or when changing fractions to have a common denominator when adding and subtracting fractions with different denominators. These worksheets start with familiar fractions like halves and quarters and proceed through common fractions with larger denominators. Finding equivalent fractions is a great topic to introduce in 3rd or 4th grade before moving on to adding fractions or subtracting fractions.


If you really need an amazing tool for visualizing equivalent fractions, be sure to check out this fraction chart which shows families of equivalent fractions in an elegant way along with their decimal equivalents.


After mastering these equivalent fractions worksheets, are you looking for more fraction practice? Check out these fraction resources for more tools appropriate for your 3rd, 4th or 5th grade students:


These fraction charts show where specific groups of equivalent fractions land on the number line with their decimal equivalents. Ready to print for free as a student notebook fraction anchor chart, or order it as a beautiful classroom poster!


Interactive notebook for teaching equivalent fractions with models -A simple way to have students use fractional models to figure out equivalent fractions. Students take a model given and divide it up into equal parts. By the time they have worked through the first model they have found four equivalent fractions. 2ff7e9595c


 
 
 

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