ADD AND SUBTRACT FRACTIONS WORKSHEET

Add and Subtract Fractions with Like and Unlike Denominators

Find :

Problem 1 :

5/13 + 7/13

Solution

Problem 2 :

9/16 + 2/16

Solution

Problem 3 :

3/8 + 1/4

Solution

Problem 4 :

2/5 + 1/6

Solution

Problem 5 :

1  1/3 + 5/6  

Solution

Problem 6 :

2  1/3 +  1  1/6

Solution

Problem 7 :

1  1/2 +  4  2/3

Solution

Problem 8 :

7/11 - 3/11

Solution

Problem 9 :

5/6 - 2/3

Solution

Problem 10 :

4/9 - 1/3

Solution

Problem 11 :

2  3/5  -  1  1/2

Solution

Problem 12 :

3  1/3  -  1  1/2

Solution

Problem 13 :

4  3/7  -  2  1/3

Solution

Add and Subtract Mixed Fractions With Unlike Denominators

Problem 1 :

1  2/3 + 3  1/4

Solution

Problem 2 :

 3  3/4 - 1  1/2

Solution

Problem 3 :

4  1/3 + 2  1/6

Solution

Problem 4 :

2  2/3  - 5  5/6

Solution

Problem 5 :

-2  1/4 + 3  1/8

Solution

Problem 6 :

4  1/5  - 2  1/6

Solution

Problem 7 :

2  1/3 + 1  1/6

Solution

Problem 8 :

1  1/2 + 4  2/3

Solution

Problem 9 :

3  1/3  - 1  1/2

Solution

Problem 10 :

4  3/7  - 2  1/3

Solution

Problem 11 :

A gingerbread cookie recipe calls for 3/4 cup of sugar, 2 cups of flour, 1/3 cup of dark molasses, 1/2 cup of water and 2/3 cup of shortening. Determine the combined amount, in cups, of these ingredients.

Express your answer as a mixed number.

Solution

Problem 12 :

On a steel-string acoustic guitar, the material that supports the strings at the end closest to the headstock is called the nut. The width of the nut typically ranges between 11 1/16 inches and 1  3/4 inches. Determine the difference between these two nut widths.

Solution

Add and Subtract Fractions and Integers

Problem 1 :

3/7 + 4

Solution

Problem 2 :

 4 - 2  1/4

Solution

Problem 3 :

 1 - 3/8

Solution

Problem 4 :

5/6 + 3/5 + 1/3

Solution

Problem 5 :

2/5 + 3/8 + 1

Solution

Problem 6 :

3/4 + 1/6 - 1/2

Solution

Problem 7 :

1/3 - 2/5 + 1/4

Solution

Problem 8 :

What fraction of 4/7 must be added to itself to make the sum 1  1/14 ?

a)  1/2    b)  4/7     c)  7/8     d)  15/14

Solution

Problem 9 :

In an examination, a student was asked to find 3/14 of a certain number. By mistake he found 3/4 of that number . His answer was 150 more than the correct answer. The number is 

a)  180    b)  240     c)  280     d)  290

Solution

Problem 10 :

A students was asked to find the value of 3/8 of a sum of money. The student made a mistake by dividing the sum by 3/8 and thus got an answer which exceeded the correct answer by 55. The correct answer was.

a)  9    b)  18     c)  24     d)  64

Solution

Problem 11 :

An institue organized a fete and 1/5 of the girls and 1/8 of boys participated in the same. What fraction fo the total number of students took part in the fete ?

a)  2/13    b)  13/40     c)  Data inadequate     d)  none

Solution

Problem 12 :

A tank is 2/5 full. If 16 liters of water is added to the tank, it becomes 6/7 full. The capacity of the tank is 

a)  28 liters    b)  32 liters     c)  35 liters      d)  42 liters

Solution

Problem 13 :

The highest score in an inning was 3/11 of a total and next highest was 3/11 of the remainder. IF the scores differed by 9, the total score was.

a)  110        b)  121       c)  132     d)  143

Solution

Problem 1 :

The sum of 3/5, 2/3 and 1/4 is

A) 1/2     B) 27/20     C) 3/2     D) 91/60     E) 1 5/12

Solution

Problem 2 :

Subtract 3/4 from 9/10.

A)  3/20     B)  1     C) 3/5     D) 3/40     E) 7/40

Solution

Problem 3 :

5/6 ÷ (4/3 ∙ 5/4) is equal to

A) 2     B) 50/36     C) 1/2     D) 36/50     E) 7/12

Solution

Problem 4 :

Subtract 32 3/5 from 57.

A) 24 2/5     B) 25 3/5     C) 25 2/5     D) 24 3/5     E) 24 1/5

Solution

Problem 5 :

Divide 4 1/2 by 1 1/8.

A) 1/4     B) 4     C) 8/9     D) 9/8     E) 3 1/2

Solution

Problem 6 :

Which of the following fractions is the largest?

A)1/2     B)11/16     C)5/8     D)21/32     E)3/4

Solution

Problem 7 :

Which of the following fractions is closest to 2/3?

A) 11/15    B) 7/10     C) 4/5     D) 1/2     E) 5/6

Solution

Problem 8 :

Simplify (4 - 9/10) / (2/3 + 1/2)

A) 93/5     B) 93/35     C) 147/35     D) 147/5     E) 97/35

Solution

Problem 9 :

Find the value of (1/a + 1/b) / (1/a - 1/b) when a = 3, b = 4.

A)7     B)2     C)1     D)1/7     E)2/7

Solution