Question
$5 \frac{1}{2}-3 \frac{1}{3}$
✓
Answer
$\begin{aligned} & 5 \frac{1}{2}-3 \frac{1}{3} \\ & 5 \frac{1}{2}-3 \frac{1}{3}=\frac{5 \times 2+1}{2}-\frac{3 \times 3+1}{3} \\ & =\frac{10+1}{2}-\frac{9+1}{3} \\ & =\frac{11}{2}-\frac{10}{3} \\ & =\frac{11 \times 3}{2 \times 3}-\frac{10 \times 2}{3 \times 2} \\ & =\frac{33}{6}-\frac{20}{6} \\ & =\frac{33-20}{6}=\frac{13}{6} \\ & 5 \frac{1}{2}-3 \frac{1}{3}=2 \frac{1}{6} \\ & \end{aligned}$
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