Adding Fractions with Like Denominators Worksheet

Adding Fractions with Like Denominators Worksheet
  • Page 1
 1.  
What would you add to the fraction 1 6 to get a sum of 1?
a.
6 5
b.
5 6
c.
1
d.
1 6


Solution:

Required fraction = 1 - 1 / 6
[Sum of the fraction and 1 / 6 is 1.]

= 6 / 6 - 1 / 6
[Write 1 as 6 / 6 so as to make denominators equal.]

6 - 1 = 5
[Denominators are equal. So, subtract the numerators.]

1 - 1 / 6 = 5 / 6

The fraction that should be added to 1 / 6 to get sum 1 is 5 / 6.


Correct answer : (2)
 2.  
What would you add to the fraction 3 8 to get a sum of 1?
a.
5 8
b.
3 8
c.
8 5
d.
1


Solution:

Required fraction = 1 - 3 / 8
[Sum of the fraction and 3 / 8 is 1.]

= 8 / 8 - 3 / 8
[Write 1 as 8 / 8 so as to make denominators equal.]

8 - 3 = 5
[Denominators are equal. So, subtract the numerators.]

1 - 3 / 8 = 5 / 8

The fraction that should be added to 3 / 8 to get sum 1 is 5 / 8.


Correct answer : (1)
 3.  
What would you add to the fraction 7 10 to get a sum of 1?
a.
3 7
b.
10 3
c.
10
d.
3 10


Solution:

Required fraction = 1 - 7 / 10
[Sum of the fraction and 7 / 10 is 1.]

= 10 / 10 - 7 / 10
[Write 1 as 10 / 10 so as to make denominators equal.]

10 - 7 = 3
[Denominators are equal. So, subtract the numerators.]

1 - 7 / 10 = 3 / 10

The fraction that should be added to 7 / 10 to get sum 1 is 3 / 10.


Correct answer : (4)
 4.  
What would you add to the fraction 4 9 to get a sum of 1?
a.
5 4
b.
9 4
c.
5 9
d.
9 5


Solution:

Required fraction = 1 - 4 / 9
[Sum of the fraction and 4 / 9 is 1.]

= 9 / 9 - 4 / 9
[Write 1 as 9 / 9 so as to make denominators equal.]

9 - 4 = 5
[Denominators are equal. So, subtract the numerators.]

1 - 4 / 9 = 5 / 9

The fraction that should be added to 4 / 9 to get sum 1 is 5 / 9.


Correct answer : (3)
 5.  
What would you add to the fraction 1 3 to get a sum of 1?
a.
1 4
b.
3
c.
2 3
d.
1 3


Solution:

Required fraction = 1 - 1 / 3
[Sum of the fraction and 1 / 3 is 1.]

= 3 / 3 - 1 / 3
[Write 1 as 3 / 3 so as to make denominators equal.]

3 - 1 = 2
[Denominators are equal. So, subtract the numerators.]

1 - 1 / 3 = 2 / 3

The fraction that should be added to 1 / 3 to get sum 1 is 2 / 3.


Correct answer : (3)
 6.  
Which of the choices correctly represents the sum of the two fractions 2 9 and 3 9?


Solution:

29 + 39
[Given fraction.]

= 2+39
[Add the numerators over the common denominators.]

= 59

The fraction 5 / 9 means: 5 stars are shaded out of 9 stars.

From the choices, Choice A represents the fraction 5 / 9 correctly.


Correct answer : (0)
 7.  
Find the sum.
3 4 + 1 4
a.
1 2
b.
2
c.
1
d.
1 3


Answer: (c)


Correct answer : (3)
 8.  
A tap fills 2 5of a tank in the first two hours and 1 5of the tank in the next two hours. What portion of the tank is filled in four hours?
a.
1 3
b.
1 5
c.
3 5
d.
1 8


Solution:

The portion of the tank filled by the tap in two hours = 2 / 5

The portion of the tank filled in the next two hours = 1 / 5

The portion of the tank filled in the four hours = 2 / 5 + 1 / 5

25 + 15 = 35
[Add the numerators and keep the denominator same.]

The portion of the tank filled in four hours = 3 / 5


Correct answer : (3)
 9.  
A person has done 5 12 of a job in one week. In the next week, he is only able to complete 1 12 of the job. Find the fraction of work he has completed in the two weeks.
a.
1 5
b.
1 2
c.
1 3
d.
1 4


Solution:

Work done by the person in the first week = 5 / 12

Work done by the person in the second week = 1 / 12

Total work done by the person in the past two weeks = 5 / 12 + 1 / 12

5 + 1 = 6
[Denominators are equal. So, add the numerators.]

512 + 112 = 612

612 = 12
[Divide.]

The work done by the person during the two weeks = 1 / 2.


Correct answer : (2)
 10.  
Jim spent 3 7 of his salary in the first two weeks of January and 2 7 in the next two weeks. What fraction of his salary did he spend in the month of January?
a.
1 2
b.
5 7
c.
1 5
d.
1 7


Solution:

Salary spent in the first two weeks = 3 / 7

Salary spent in the next two weeks = 2 / 7

The total part of salary spent in the month = 3 / 7 + 2 / 7

= 3 + 27 = 57
[Denominators are equal. So, add the numerators.]

Jim spent 5 / 7 of the total part of salary in the month.


Correct answer : (2)

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