Question
$5 \frac{1}{5}+2 \frac{1}{7}$
✓
Answer
$\begin{aligned} & 5 \frac{1}{5}+2 \frac{1}{7} \\ & 5 \frac{1}{5}+2 \frac{1}{7}=\frac{5 \times 5+1}{5}+\frac{2 \times 7+1}{7} \\ & =\frac{25+1}{5}+\frac{14+1}{7} \\ & =\frac{26}{5}+\frac{15}{7} \\ & =\frac{26 \times 7}{5 \times 7}+\frac{15 \times 5}{7 \times 5} \\ & =\frac{182}{35}+\frac{75}{35} \\ & =\frac{182+75}{35} \\ & =\frac{257}{35} \\ & 5 \frac{1}{5}+2 \frac{1}{7}=7 \frac{12}{35} \\ & \end{aligned}$
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