Question

Jack bought one large pumpkin pie, he gave total $\frac{2}{6}$ part of the pumpkin pie to Sam and Ruth, part of it would be left for him.

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

Answer 1

The correct option is A $\frac{2}{3}$

At the beginning, Jack had the whole pumpkin pie.

He gave total $\frac{2}{6}$ part of the pumpkin pie to Sam and Ruth.

Part of the pumpkin pie left with him $=1-\frac{2}{6}=\frac{6}{6}-\frac{2}{6}$

Concept: Only the numerators of both fractions are added or subtracted when two fractions with the same denominator are added or subtracted.
$\Rightarrow \frac{6}{6}-\frac{2}{6}=\frac{6-2}{6}=\frac{4}{6}$

$\Rightarrow \frac{4}{6}=\frac{2\times 2}{2\times 3}=\frac{2}{3}$

Hence, $\frac{2}{3}$ part of the pumpkin pie would be left for Jack.