Question

Ethan ate $\frac{2}{11}$ of a coconut pie and Dylan ate another $\frac{4}{11}$. part of the coconut pie would be left now.

• A. $\frac{5}{11}$
• B. $\frac{6}{11}$
• C. $\frac{11}{11}$

Answer 1

The correct option is A $\frac{5}{11}$

Part of coconut pie eaten by Ethan $=\frac{2}{11}$
Part of coconut pie eaten by Dylan $=\frac{4}{11}$

Total part of the coconut pie eaten by Ethan and Dylan
$=\frac{2}{11}+\frac{4}{11}$

Concept: Only the numerators of both fractions are added or subtracted when two fractions with the same denominator are added or subtracted.

$\Rightarrow \frac{2}{11}+\frac{4}{11}=\frac{2+4}{11}=\frac{6}{11}$


Part of the coconut pie left now = Total part of the pie - Part of pie eaten by Ethan and Dylan

$\Rightarrow 1-\frac{6}{11}=\frac{11}{11}-\frac{6}{11}$

$=\frac{11-6}{11}$

$=\frac{5}{11}$

$\therefore \frac{5}{11}$ part of the coconut pie would be left now.