EQUIVALENT FRACTIONS WORKSHEETS

Equivalent fractions worksheets :

Worksheet on equivalent fractions is much useful to the students who would like to practice problems on fractions.

Equivalent fractions worksheets - Problems

1.  Write 4 fractions which are equivalent to 5/6.

2.  Write 3 fractions which are equivalent to 3/7.

3.  Pick out the fractions which are equivalent :

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

4.  Find the missing number :

5.  Find the missing number :

Equivalent fractions worksheets - Solution

Problem 1 :

Write 4 fractions which are equivalent to 5/6.

Solution :

5/6  =  (5x2)/(6x2)  =  10/12

10/12  =  (10x2)/(12x2)  =  20/24

20/24  =  (20x2)/(24x2)  =  40/48

40/48  =  (40x2)/(48x2)  =  80/96

The four fractions which are equivalent to 5/6 are

10/12, 20/24, 40/48 and 80/96

Problem 2 :

Write 3 fractions which are equivalent to 3/7.

Solution :

3/7  =  (3x2)/(7x2)  =  6/14

6/14  =  (6x2)/(14x2)  =  12/28

12/28  =  (12x2)/(28x2)  =  24/56

The three fractions which are equivalent to 3/7 are

6/14, 12/28 and 24/56

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  =  (2x8) / (5x8)  =  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  =  (1x5) / (3x5)  =  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 "Worksheets on equivalent fractions".

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