Equivalent Fractions Examples, deals with various concepts which are as under:-

- Find Equivalent Fraction With Given Numerator
- Find Equivalent Fraction With Given Denominator

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Two or more Fractions are said to be Equivalent Fractions If they represent the same amount or same Fraction.

To get a fraction equivalent to a given fraction, we multiply or divide the numerator and the denominator of the given fraction by the same number (except 0 or 1)

## Equivalent Fractions Examples

**Example 1**

Find the four fractions equivalent to ?

**Solution**

To get a fraction equivalent to a given fraction, we multiply or divide the numerator and the denominator of the given fraction by the same number (except 0 or 1)

=

=

=

=

Hence, the four equivalent fractions of are , , ,

**Example 2**

Find the four fractions equivalent to ?

**Solution**

To get a fraction equivalent to a given fraction, we multiply or divide the numerator and the denominator of the given fraction by the same number (except 0 or 1)

=

=

=

=

Hence, the four equivalent fractions of are , , ,

### Equivalent Fraction With Given Numerator and Denominator

### Find Equivalent Fraction With Given Numerator

**Example 1**

Write an Equivalent Fraction of with Numerator 15 .

**Solution**

Let,

=

In order to obtain an equivalent fraction, we need to multiply the Numerator and Denominator of a given number , by same digit

To get 15 as Numerator, we have to multiply 3 by 5

In order to get an Equivalent Fraction, we have to multiply the Denominator by the same number, i.e, 5

i.e,

=

Hence, is an Equivalent Fraction of with Numerator 15 .

**Example 2**

Write an Equivalent Fraction of with Numerator 21 .

**Solution**

Let,

=

In order to obtain an Equivalent fraction, we need to multiply the Numerator and Denominator of a given number , by same digit

To get 21 as Numerator, we have to multiply 7 by 3

In order to get an Equivalent Fraction, we have to multiply the Denominator by the same number, i.e, 3

i.e,

=

Hence, is an Equivalent Fraction of with Numerator 21.

### Find Equivalent Fraction With Given Denominator

**Example 1**

Write an Equivalent Fraction of with Denominator 6.

**Solution**

Let,

=

In order to obtain an Equivalent fraction, we need to divide the Numerator and Denominator of a given number , by same digit

To get 6 in the Denominator, we need to divide 24 by 4

So, in order to get an Equivalent Fraction, we have to divide the Numerator also by 4

i.e,

=

Hence, is an Equivalent Fraction of with Denominator 6

**Example 2**

Write an Equivalent Fraction of with Denominator 4 .

**Solution**

Let,

=

In order to obtain an Equivalent fraction, we need to divide the Numerator and Denominator of a given number , by same digit

To get 4 in the Denominator, we need to divide 12 by 3

So, in order to get an Equivalent Fraction, we have to divide the Numerator also by 3

i.e,

=

Hence, is an Equivalent Fraction of with Denominator 4

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