# 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 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

## Recent Articles

1. ### Finding Range of Values Inequality Problems

May 21, 24 08:51 PM

Finding Range of Values Inequality Problems

2. ### Solving Two Step Inequality Word Problems

May 21, 24 08:51 AM

Solving Two Step Inequality Word Problems