Question

tia completed $\frac{2}{5}$ of a puzzle. luke completed $\frac{1}{3}$ of the same puzzle. what fraction of the puzzle was completed? ① $\frac{1}{15}$ ② $\frac{3}{15}$ ③ $\frac{4}{15}$ ④ $\frac{11}{15}$

Explanation:

Step1: Find common denominator

The common - denominator of 5 and 3 is 15.

Step2: Rewrite fractions

Rewrite $\frac{2}{5}$ as $\frac{2\times3}{5\times3}=\frac{6}{15}$, and $\frac{1}{3}$ as $\frac{1\times5}{3\times5}=\frac{5}{15}$.

Step3: Add fractions

The total fraction of the puzzle completed is $\frac{6}{15}+\frac{5}{15}=\frac{6 + 5}{15}=\frac{11}{15}$.

Answer:

E. $\frac{11}{15}$