# WHICH FRACTION IS BIGGER WORKSHEET

Which Fraction is Bigger Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice problems on finding the fraction which is  greater in value among the given two fractions

## Which Fraction is Bigger Worksheet - Problems

Problem 1 :

Find which fraction is greater :

3/7 or 8/7

Problem 2 :

Find which fraction is greater :

3/8 or 5/12

Problem 3 :

Find which fraction is greater :

2/3 or 4/7

Problem 4 :

Find which fraction is greater :

1/3 or 4/8

Problem 5 :

Find which fraction is greater :

7/15 or 3/45

Problem 6 :

Find which fraction is greater :

2/17 or 3/34

Problem 7 :

Find which fraction is greater :

5/7 or 2/9

Problem 8 :

Find which fraction is greater :

4/7 or 3/10

Problem  :

Find which fraction is greater :

1/8 or 3/16

Problem 1 :

Find which fraction is greater :

6/13 or 3/26

## Which Fraction is Bigger Worksheet - Solutions

Problem 1 :

Find which fraction is greater :

3/7 or 8/7

Solution :

Because the denominators of the fractions are same, we can compare the numerators and decide which fraction is greater.

Comparing the numerators, we get

8 is greater than 3

So,

8/7 is greater than 3/7

Problem 2 :

Find which fraction is greater :

3/8 or 5/12

Solution :

Because the denominators are different, first we have to make the denominators same.

To make the denominator same.  we have find the least common multiple (LCM) of the denominators 8 and 12.

LCM of (8, 12)  =  24

Because the LCM is 24, we have to make each denominator as 24 using multiplication as shown below.

3/8  =  (3 ⋅ 3) / (8 ⋅ 3)  =  9/24

5/12  =  (5 ⋅ 2) / (12 ⋅ 2)  =  10/24

In 12/60 and 35/60, the denominator is same.

Now we can compare the numerators and decide which fraction is greater.

Then. we have

10/24 is greater than 9/24

So,

5/12 is greater than 3/8

Problem 3 :

Find which fraction is greater :

2/3 or 4/7

Solution :

Because the denominators are different, first we have to make the denominators same.

To make the denominator same.  we have find the least common multiple (LCM) of the denominators 8 and 12.

LCM of (3, 7)  =  21

Because the LCM is 21, we have to make each denominator as 21 using multiplication as shown below.

2/3  =  14/21

4/7  =  12/21

In 14/21 and 12/21, the denominator is same.

Now we can compare the numerators and decide which fraction is greater.

Then. we have

14/21 is greater than 12/21

So,

2/3 is greater than 4/7

Problem 4 :

Find which fraction is greater :

1/3 or 4/8

Solution :

4/8 is greater than 1/3

Problem 5 :

Find which fraction is greater :

7/15 or 3/45

Solution :

7/15 is greater than 3/45

Problem 6 :

Find which fraction is greater :

2/17 or 3/34

Solution :

2/17 is greater than 3/34

Problem 7 :

Find which fraction is greater :

5/7 or 2/9

Solution :

5/7 is greater than 2/9

Problem 8 :

Find which fraction is greater :

4/7 or 3/10

Solution :

4/7 is greater than 3/10

Problem 9 :

Find which fraction is greater :

1/8 or 3/16

Solution :

3/16 is greater than 1/8

Problem 10 :

Find which fraction is greater :

6/13 or 3/26

Solution :

6/13 is greater than 3/26

After having gone through the stuff given above, we hope that the students would have understood, how to find the fraction which is  greater in value among the given two fractions.

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