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 threefifth 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 onethird 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 onethird 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.
● Multiplication is Repeated Addition.
● Multiplication of Fractional Number by a Whole Number.
● Multiplication of a Fraction by Fraction.
● Properties of Multiplication of Fractional Numbers.
● Worksheet on Multiplication on Fraction.
● Division of a Fraction by a Whole Number.
● Division of a Fractional Number.
● Division of a Whole Number by a Fraction.
● Properties of Fractional Division.
● Worksheet on Division of Fractions.
● Simplification of Fractions.
● Worksheet on Simplification of Fractions.
● Worksheet on Word Problems on Fractions.
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