# Problems on Multiplication of Fractional Numbers

Here few problems are illustrated on multiplication of fractional numbers. This will give the learners an outline about how story sums on multiplication of fractions are solved. It will also provide the learners a better understanding of application on multiplication of fractional numbers in case of story sums.

1. In a school there are 1500 students. Out of which 3/5 are girls. Find the number of boys.

Solution:

No. of students in a school = 1500

Fraction of girls = 3/5

Number of girls = 3/5 × 1500

= 900

Therefore, no. of boys in the school = 1500 – 900 = 600.

Number of boys in the school = 600 boys

Explanation:

In this problem there are 1500 students. The fraction of girls is mentioned. Hence, it means that ‘of’ 1500 students 3/5 are girls. As we know, that in multiplication ‘of’ means ×. Therefore we will have to multiply 3/5 with 1500 students to find the no. of girls in the school. After getting the no. of girls we can easily find the no. of boys in the school. Since the number of girls in the school is 900 hence, no. of boys in the school will be 1500 – 900 = 600. Therefore there are 600 boys in the school.

2. There are 500 chocolates in a box. Ram distributed 3/4 of the chocolates with his friend. Find the no. of chocolates left in the box.

Solution:

No. of chocolates in a box = 500

Fraction of chocolates Ram distributed = 3/4

Therefore, no. of chocolates distributed by Ram =  3/4 × 500

= 375 chocolates

Therefore, no .of chocolates left in the box = 500 – 375 = 125

No. of chocolates left in the box = 125

Explanation:

There are 500 chocolates in a box. The fraction of chocolates distributed by Ram is mentioned as 3/4 . That means out of 500 chocolates  3/4   is distributed. Therefore we have to multiply 500 with 3/4 to get 375 chocolates. Hence we can easily find no. of chocolates left in the box by subtracting it from 500. So, no. of chocolates left in the box = 500 – 375 = 125 chocolates.

3. There are 450 apples in a basket. 2/5 of the apples are rotten and rest are sold. Find the no. of rotten apples and no. of apples sold.

Solution:

No. of apples in a basket = 450

Fraction of Rotten apples = 2/5

No. of rotten apples = 2/5 × 450

= 180 apples

Therefore, no. of apples sold = 450 – 180

= 270 apples

No. of rotten apples = 180

No. of apples sold = 270

Explanation:

There are 450 apples in a basket. Fraction of rotten apples is mentioned. Hence we can say that 2/5 of 450 apples are rotten. We know that in multiplication ‘of’ means multiply. Hence 2/5 × 450 i.e. 180 apples are rotten. It is mentioned that rest of the apples are sold. Hence 450 – 180 = 270 apples are sold.

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