ADDING AND SUBTRACTING FRACTION AND INTEGERS

To combine the integer and fraction, we can use the following ways.

(i) Considering the integer as fraction by considering its denominator is 1.

(ii)  Taking the denominator of the fraction and multiply it by the integer and simplify.

Method 1

Method 2

Problem 2 :

 4 - 2  1/4

Solution :

=  4 - 2  1/4

= (16 – 9)/4

= 7/4

= 1  3/4

Problem 3 :

 1 - 3/8

Solution :

= (8 – 3)/8

= 5/8

Problem 4 :

5/6 + 3/5 + 1/3

Solution :

= 5/6 + 3/5 + 1/3

Least common multiple of 6, 5 and 3 is 30.

= (5/6 × 5/5) + (3/5 × 6/6) + (1/3 × 10/10)

= 25/30 + 18/30 + 3/30

= (25+18+3)/30

= 53/30

= 1  23/30

Problem 5 :

2/5 + 3/8 + 1

Solution :

= 2/5 + 3/8 + 1

Least common multiple of 5, 8 and 1 is 40.

= (2/5 × 8/8) + (3/8 × 5/5) + (1/1 × 40/40)

= 16/40 + 15/40 + 40/40

= (16 + 15 + 40)/40

= 71/40

= 1 31/40

Problem 6 :

3/4 + 1/6 - 1/2

Solution :

= 3/4 + 1/6 - 1/2

Least common multiple of 4, 6 and 2 is 12.

= (3/4 × 3/3) + (1/6 × 2/2) - (1/2 × 6/6)

= 9/12 + 2/12 - 6/12

= (9 + 2 - 6)/12

= 5/12

Problem 7 :

1/3 - 2/5 + 1/4

Solution :

= 1/3 - 2/5 + 1/4

Least common multiple of 3, 5 and 4 is 60.

= (1/3 × 20/20) - (2/5 × 12/12) + (1/4 × 15/15)

= 20/60 - 24/60 + 15/60

= (20 - 24 + 15)/60

= 11/60