Question

I divided a cake into two equal parts, gave one part to Pandu. Then, I again divided the remaining part of the cake into two equal parts and gave one part to Pinki. What fraction of the cake am I left with?

Answer 1

Initially, I had one full cake

Fraction of cake Pandu got = $\frac{1}{2}\times 1=\frac{1}{2}$

Remaining part of the cake = 1 - $\frac{1}{2}$ = $\frac{1}{2}$

I again divided this part into half for Pinki,

Fraction of cake Pinki got = $\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}$

Hence, fraction of the cake left with me = $\frac{1}{2}$ - $\frac{1}{4}$ = $\frac{1}{4}$