Question

Aman invited his friends to his birthday party. The birthday cake was cut into $12$ pieces. John took $\frac{1}{3}$ of the entire cake, Kapil took $\frac{1}{4}$ of cake, Anil took $\frac{1}{6}$ and Peter got $\frac{1}{6}$ of it. Was there any piece left of friends to come?

Answer 1

The cake was cut into $12$ pieces ; $\Rightarrow$ each piece is $\frac{1}{12}th$ of whole cake John ate $\frac{1}{3}no.$ of the cake.

Kapil took $1/4th$

Anil & Peter took $4/6th$ each of the cake

Upon adding the share's of John, Kapil, Anil & Peter we see that they have devoured $\frac{11}{12}th$ of the cake.

$\therefore$ $1/12$ of cake is left

$\Rightarrow 1$ piece of cake is left.