Question
$7 \frac{1}{2}-3 \frac{1}{5}$

Answer

$\begin{aligned} 7 \frac{1}{2}-3 \frac{1}{5} & \\ 7 \frac{1}{2}-3 \frac{1}{5} & =\frac{7 \times 2+1}{2}-\frac{3 \times 5+1}{5} \\ & =\frac{14+1}{2}-\frac{15+1}{5} \\ & =\frac{15}{2}-\frac{16}{5} \\ & =\frac{15 \times 5}{2 \times 5}-\frac{16 \times 2}{5 \times 2} \\ & =\frac{75}{10}-\frac{32}{10} \\ & =\frac{75-32}{10}=\frac{43}{10} \\ 7 \frac{1}{2}-3 \frac{1}{5} & =4 \frac{3}{10}\end{aligned}$

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