Equivalent Fractions

For example, think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: 1/2 = 6/12 = 50/100

Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won't change the value of the fraction, and you'll create an equivalent fraction.

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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.

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:

The denominators of the fractions, 2/6 and 3/9 are 6 and 9. The Least Common Multiple (LCM) of the denominators 6 and 9 is 18. Let us make the denominators of both fractions 18, by multiplying them with suitable numbers.

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=\(\dfrac{12 \times 3}{20 \times 3}\)= 36/60, 22/30=\(\dfrac{22 \times 2}{30 \times 2}\)= 44/60. Here, it can be seen that 36 is not equal to 44, that is 36 < 44. Therefore, 12/20 and 22/30 are not equivalent fractions.

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.

An equivalent improper fraction means an equivalent fraction in an improper form. A fraction is said to be improper when its numerator is greater than its denominator. For example, 3/2 is an improper fraction that is equivalent to 9/6.

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.

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 1/6 are 2/12, 3/18, and 4/24, which on simplification, result in the same fraction, that is, 1/6.

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.

In order to find the equivalent fractions of 1/2, let us multiply the numerator and denominator by the same number. So, we will multiply it by 2 which will be, (1 2)/(2 2) = 2/4. Now, to find another equivalent fraction for 1/2, let us multiply it by 3. This will be, (1 3)/(2 3) = 3/6. So, we get two equivalent fractions for 1/2, and they are 2/4 and 3/6.

These pages are part of a comprehensive unit aligned to Common Core math standards. This file is four worksheets that provide practice in recognizing basic equivalent fractions. Students use the words equivalent and not equivalent and also the math symbols for equal and not equal. They also fill in missing numerators to make equivalent fractions.

Equivalent fractions come up a lot in KS2 maths and some children, parents, and even teachers at primary school can be a little unsure as to what they are and how to find them. This article aims to make things a little clearer.

Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators. For example the fraction 1/2 is equivalent to (or the same as) 25/50 or 500/1000.

This breaks down the first fraction steps that Key Stage 1 and Key Stage 2 children must take at school, together with clear examples of how to find the value of a fraction using concrete resources, maths manipulatives, pictorial representations and number lines; the difference between unit fractions and non unit fractions; all the way up to proper and improper fractions.

Children will need to have a strong knowledge of equivalent fractions to be able to convert between fractions, decimals and percentages. Knowledge of times tables, the lowest common multiple and highest common factor are also important for equivalent fractions 006ab0faaa