Question

It was my birthday yesterday. A fraction of 3/5 of the cake was consumed on the same day. Today I want to distribute the remaining cake equally among 5 of my friends. What part will each get?

Answer 1

Given :

A fraction of 3/5 of the cake was consumed and remaining cake equally distribute among 5 friends.

To find :

The part of fraction each will get.

Solution :

yesterday the fraction of cake was consumed = $\frac{3}{5}$

The remaining part of cake = $1-\frac{3}{5}$

                                             = $\frac{5-3}{5}$

                                             = $\frac{2}{5}$

The remaining part of cake is distributed equally among 5 of my friends.

Each will get the fraction of part = $\frac{\frac{2}{5} }{5}$

                                                     = $\frac{2}{5\times 5}$

                                                     = $\frac{2}{25}$

Each friend will get  $\frac{2}{25}$ part of the cake.