Question

I had ${\frac{1}{3}}^{\text{rd}}$ of a pizza and I now want to divide the rest equally into 3 parts. What will be the fraction represented by each such part?

• A. $\frac{2}{9}$
• B. $\frac{2}{3}$
• C. $\frac{1}{12}$
• D. $\frac{1}{9}$

Answer 1

The correct option is A $\frac{2}{9}$

If I eat ${\frac{1}{3}}^{\text{rd}}$ of a pizza, then the fraction of pizza remaining is $\frac{2}{3}$.
If I need to divide this ${\frac{2}{3}}^{\text{rd}}$ pizza into three equal parts, then each part will represent the fraction $\frac{\frac{2}{3}}{3}$.
But $\frac{\frac{2}{3}}{3}=\frac{2}{3}\times \frac{1}{3}=\frac{2}{9}.$
Thus, the required fraction is $\frac{2}{9}.$