Question

I had $\frac{1}{5}$ of a pizza and now I want to divide the rest equally into 4 parts. Each part will be of how much and it's corresponding reciprocal will be respectively?

• A. $\frac{4}{5}$, 4
• B. $\frac{1}{5}$, 5
• C. 5, $\frac{1}{5}$
• D. $\frac{4}{5}$, 5

Answer 1

The correct option is B $\frac{1}{5}$, 5

If I eat $\frac{1}{5}$ of a pizza, the part of the pizza remaining is $1-\frac{1}{5}=\frac{4}{5}$.

When I divide this $\frac{4}{5}$ into 4 equal parts, each part equals $\frac{\frac{4}{5}}{4}$ of the pizza.

i.e., $\frac{4}{5}\times \frac{1}{4}=\frac{4}{20}=\frac{1}{5}$

Thus, each part equals $\frac{1}{5}$ of the pizza. and reciprocal will be 5.