# Word Problems on Fraction

In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

1. 4/7 of a number is 84. Find the number.

Solution:

According to the problem,

4/7 of a number = 84

Number = 84 × 7/4

[Here we need to multiply 84 by the reciprocal of 4/7]

= 21 × 7

= 147

Therefore, the number is 147.

2. One half of the students in a school are girls, 3/5 of these girls are studying in lower classes. What fraction of girls are studying in lower classes?

Solution:

Fraction of girls studying in school = 1/2

Fraction of girls studying in lower classes = 3/5 of 1/2

= 3/5 × 1/2

= 3 × 1/5 × 2

= 3/10

Therefore, 3/10 of girls studying in lower classes.

3. Maddy reads three-fifth of 75 pages of his lesson. How many more pages he need to complete the lesson?

Solution:

= 3/5 × 75

= 45 pages.

= 30 pages.

4. A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk each day. They give 24 litres milk in six days. How many cows are there in the herd?

Solution:

A herd of cows gives 4 litres of milk each day.

Each cow gives one-third of total milk each day = 1/3 of 4

Therefore, each cow gives 4/3 of milk each day.

Total no. of cows = 4 ÷ 4/3

= 4 × ¾

= 3

Therefore there are 3 cows in the herd.