**Equivalent Fractions Worksheets :**

Worksheet given in this section will be much useful for the students who would lie to practice problems on equivalent fractions.

Before look at the worksheet, if you would like to learn the stuff equivalent fractions,

**Problem 1 :**

Write 4 fractions which are equivalent to 5/6.

**Problem 2 :**

Write 3 fractions which are equivalent to 3/7.

**Problem 3 :**

Pick out the fractions which are equivalent :

2/5, 12/16, 1/3, 5/15, 16/40, 3/4, 9/12

**Problem 4 :**

Find the missing number :

**Problem 5 :**

Find the missing number :

**Problem 1 :**

Write 4 fractions which are equivalent to 5/6.

**Solution : **

5/6 = (5 ⋅ 2) / (6 ⋅ 2) = 10/12

5/6 = (5 ⋅ 3) / (6 ⋅ 3) = 15/18

5/6 = (5 ⋅ 4) / (6 ⋅ 4) = 20/24

5/6 = (5 ⋅ 5) / (6 ⋅ 5) = 25/30

The four fractions which are equivalent to 5/6 are

10/12, 15/18, 20/24 and 25/30

**Problem 2 :**

Write 3 fractions which are equivalent to 3/7.

**Solution : **

3/7 = (3 ⋅ 2) / (7 ⋅ 2) = 6/14

3/7 = (3 ⋅ 3) / (7 ⋅ 3) = 9/21

3/7 = (3 ⋅ 4) / (7 ⋅ 4) = 12/28

The four fractions which are equivalent to 5/6 are

6/14, 9/21 and 12/28

**Problem 3 :**

Pick out the fractions which are equivalent :

2/5, 12/16, 1/3, 5/15, 16/40, 3/4, 9/12

**Solution : **

The fractions 2/5 and 16/40 are equivalent.

Because, 2/5 = (2 ⋅ 8) / (5 ⋅ 8) = 16/40

The fractions 12/16, 3/4 and 9/12 are equivalent.

Because, 12/16 = (12 ÷ 4) / (16 ÷ 4) = 3/4

and 9/12 = (9 ÷ 3) / (12 ÷ 3) = 3/4

The fractions 1/3 and 5/15 are equivalent.

Because, 1/3 = (1 ⋅ 5) / (3 ⋅ 5) = 5/15

**Problem 4 :**

Find the missing number :

The numerator of the first two fractions are 5 and 35. And 5 will become 35, when we multiply by 7.

So, we have to multiply the denominator of the first fraction 9 by 7 in order to get the denominator of the second fraction.

Hence, the denominator of the second fraction is 63.

The denominator of the first and third fraction are 9 and 72. And 9 will become 72, when we multiply by 8.

So, we have to multiply the numerator of the first fraction 5 by 8 in order to get the numerator of the third fraction.

Hence, the numerator of the third fraction is 40.

That is,

**Problem 5 :**

Find the missing number :

The numerator of the first two fractions are 3 and 21. And 3 will become 21, when we multiply by 7.

So, we have to multiply the denominator of the first fraction 5 by 7 in order to get the denominator of the second fraction.

Hence, the denominator of the second fraction is 35.

The denominator of the first and third fraction are 5 and 20. And 5 will become 20, when we multiply by 4.

So, we have to multiply the numerator of the first fraction 3 by 4 in order to get the numerator of the third fraction.

Hence, the numerator of the third fraction is 12.

That is,

After having gone through the stuff given above, we hope that the students would have understood, how to solve problems on equivalent fractions.

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