# 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:**

Maddy reads = 3/5 of 75

= 3/5 × 75

= 45 pages.

Maddy has to read = 75 – 45.

= 30 pages.

Therefore, Maddy has to read 30 more 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.