Question

John ate ${\frac{2}{3}}^{\text{rd}}$ of a pizza, while his sister had ${\frac{1}{6}}^{\text{th}}$ of the whole. The fraction of pizza remaining is .

• A. $\frac{2}{3}$
• B. $\frac{1}{4}$
• C. $\frac{1}{6}$
• D. $\frac{3}{2}$

Answer 1

The correct option is C $\frac{1}{6}$

Fraction of pizza eaten by John = $\frac{2}{3}$
Fraction of pizza eaten by his sister = $\frac{1}{6}$
Total fraction of pizza eaten by John and his sister
$=\frac{2}{3}+\frac{1}{6}$
$=\frac{4+1}{6}$
$=\frac{5}{6}$
Fraction of pizza remaining = $1-\frac{5}{6}$
$=\frac{6-5}{6}$
$=\frac{1}{6}$