Addition And Subtraction Of Fractions (Grade 5)

Question 1

1/2 + 1/2

Answer 1

= 2/2
= 1

Question 2

1/3 + 1/3

Answer 2

= 2/3

Question 3

1/3 + 1/3 + 1/3

Answer 3

= 3/3
= 1

Question 4

1/4 + 1/4

Answer 4

= 2/4
= 1/2

Question 5

1/4 + 1/4 + 1/4

Answer 5

= 3/4

Question 6

1/2 + 1/4

Answer 6

= 2/4 + 1/4
= 3/4

Question 7

2/3 + 1/3

Answer 7

= 3/3
= 1

Question 8

1/5 + 2/5

Answer 8

= 3/5

Question 9

1/4 + 1/5

Answer 9

= 5/20 + 4/20
= 9/20

Question 10

1/2 + 1/3

Answer 10

= 3/6 + 2/6
= 5/6

Question 11

1/3 + 1/4

Answer 11

= 4/12 + 3/12
= 7/12

Question 12

1/6 + 1/5

Answer 12

= 5/30 + 6/30
= 11/30

Question 13

1/2 + 1/8

Answer 13

= 4/8 + 1/8
= 5/8

Question 14

1/2 + 1/16

Answer 14

= 8/16 + 1/16
= 9/16

Question 15

2/5 + 5/6

Answer 15

= 12/30 + 25/30
= 37/30
= 30/30 + 7/30
= 1 + 7/30
= 1 7/30

Question 16

5 2/5 + 7 5/6

Answer 16

2/5 + 5/6
= 12/30 + 25/30
= 37/30
= 30/30 + 7/30
= 1 + 7/30
= 1 7/30

5 + 7
= 12

5 2/5 + 7 5/6
= 13 7/30

Question 17

3/4 - 1/4

Answer 17

= 2/4
= 1/2

Question 18

7 3/4 - 6 1/3

Answer 18

3/4 - 1/3
= 9/12 - 4/12
= 5/12

7 - 6
= 1

7 3/4 - 6 1/3
= 1 5/12

Question 19

7 1/4 - 6 1/3

Answer 19

1/4 - 1/3 would make a negative number since 1/3 is larger than 1/4, so you will need to borrow from the wholes. The easiest way is usually to make improper fractions so that everything is in parts. But this can make the numbers huge, as you can see below.

4*7+1=29

3*6+1=19

29/4 - 19/3
= 87/12 - 76/12
= 11/12

So an alternative is to just borrow what you need.

Borrow 1 from 7

6 5/4 - 6 1/3
= 5/4 - 1/3
= 15/12 - 4/12
= 11/12