Question
What should be subtracted from $8 \frac{3}{4}$ to get $2 \frac{2}{3}$ ?

Answer


$\begin{aligned} & \text { The required number }=8 \frac{3}{4}-2 \frac{2}{3} \\ & \Rightarrow \frac{35}{4}-\frac{8}{3} \\ & \Rightarrow \frac{35 \times 3}{4 \times 3}-\frac{8 \times 4}{3 \times 4} \quad(\because \text { L.C.M. of } 4 \text { and } 3=12) \\ & \Rightarrow \frac{105-32}{12}=\frac{73}{12}=6 \frac{1}{12}\end{aligned}$

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