Question

what are equal equivalent fraction​

Answer 1

Step-by-step explanation:

Equivalent fractions are the fractions that have different numerator and denominator but are equal to the same value. For example, 2/4 and 3/6 both are equal to ½. Hence, they are equivalent in nature. These fractions represent the same proportion of the whole. Also learn Like Fractions Unlike Fractions, here.

For each fraction, we can find its equivalent fraction by multiplying both numerator and denominator with the same number. For example, we have to find the third equivalent fraction of ⅔; then we have to multiply ⅔ by 3/3. Hence,

⅔ x (3/3) = 6/9

Table of contents:

Definition

Finding Equivalent Fractions

Chart

Example Questions

Practice Problems

Equivalent Fractions Definition

Equivalent fractions state that two or more than two fractions are said to be equal if both results are the same fraction after simplification. Let us say, a/b and c/d are two fractions, after the simplification of these fractions, both result in equivalent fraction, say e/f, then they are equal to each other.

For example, the equivalent fraction of 1/3 is 5/15, because if we simplify 5/15, then the resulted fraction is the same.

Equivalent Fractions

The biggest question here can be, why do they have equal values in spite of having different number?

The answer to this question is that, as the numerator and denominator are not co-prime numbers, therefore they have a common multiple, which on division gives exactly the same value.

Take for an example:

1/2 = 2/4 = 4/8

But, it is clearly seen that the above fractions have different numerators and denominators.

Dividing both numerator and denominator by their common factor, we have:

4÷48÷4

=1/2

In the same way, if we simplify 2/4, again get 1/2.

2÷24÷2

= 1/2

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Answer 2

Fractions Having The Same Value Are Called Equivalent Fraction.

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