Question
$3 \frac{1}{5}+2 \frac{1}{3}$
✓
Answer
$\begin{aligned} & 3 \frac{1}{5}+2 \frac{1}{3} \\ & 3 \frac{1}{5}+2 \frac{1}{3}=\frac{3 \times 5+1}{5}+\frac{2 \times 3+1}{3} \\ &=\frac{15+1}{5}+\frac{6+1}{3} \\ &=\frac{16}{5}+\frac{7}{3} \\ &=\frac{16 \times 3}{5 \times 3}+\frac{7 \times 5}{3 \times 5} \\ &=\frac{48}{15}+\frac{35}{15} \\ &=\frac{48+35}{15} \\ &=\frac{83}{15} \\ & 3 \frac{1}{5}+2 \frac{1}{3}=5 \frac{8}{15}\end{aligned}$
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