WHICH FRACTION IS BIGGER WORKSHEET

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

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

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