Question
Evaluate: $3 \frac{5}{12}+1 \frac{2}{3}$
✓
Answer
$\begin{aligned} & 3 \frac{5}{12}+1 \frac{2}{3} \\ & =\frac{12 \times 3+5}{12}+\frac{3 \times 1+2}{3} \\ & =\frac{41}{12}+\frac{5}{3} \quad(\because \text { L.C.M. of } 12,3=12) \\ & =\frac{41 \times 1}{12 \times 1}+\frac{5 \times 4}{3 \times 4} \\ & =\frac{41}{12}+\frac{20}{12} \\ & =\frac{41+20}{12}=\frac{61}{12}=5 \frac{1}{12}\end{aligned}$
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