Question
Evaluate: $3 \frac{5}{12}-1 \frac{2}{3}$
✓
Answer
$\begin{aligned} & 3 \frac{5}{12}-1 \frac{2}{3} \\ & =\frac{12 \times 3+5}{12}-\frac{3 \times 1+2}{3} \\ & =\frac{41}{12}-\frac{5}{3} \quad(\because \text { L.C.M. of } 12,3=12) \\ & =\frac{41 \times 1}{12 \times 1}-\frac{5 \times 4}{3 \times 4} \\ & =\frac{41}{12}-\frac{20}{12} \\ & =\frac{41-20}{12}=\frac{21}{12}=\frac{7}{4}=1 \frac{3}{4}\end{aligned}$
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