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.