Question

8 boys shared 2/5 of a cake equally what fraction of the cake did each boy get​

Answer 1

Answer:

yes

Step-by-step explanation:

2/40

is answer

part is 2/5

and distribute 8 equal

Answer 2

Given: Number of boys = 8

           Part of the cake shared by them equally = 2/5

To find: Fraction of the cake each boy get

Let: Total portion of the cake be 1

Solution: According to the given question,

2/5 portion of the cake has been divided equally among 8 boys

Portion that each boy will get is-

⇒ $\frac{2}{5}$ ÷ 8

Taking reciprocal of 8 as 1/8 and replacing ÷ with ×

⇒ $\frac{2}{5}$ × $\frac{1}{8}$ = $\frac{2}{40}$

Converting 2/40 to lowest form

⇒ $\frac{2}{40}$ ÷ $\frac{2}{2}$ = $\frac{1}{20}$   (Dividing 2/40 with the H.C.F. of 2 and 40 i.e., 2)

Hence, fraction of the cake each boy get is 1/20.