Question
Evaluate: $-\frac{2}{3}+\frac{5}{2}+2$

Answer


$\begin{aligned} & -\frac{2}{3}+\frac{5}{2}+2 \\ & =-\frac{2}{3}+\frac{5}{2}+\frac{2}{1} \\ & =\frac{-2 \times 2}{3 \times 2}+\frac{5 \times 3}{2 \times 3}+\frac{2 \times 6}{1 \times 6} \\ & (\because \text { L.C.M. of } 3,2 \text { and } 1=6) \\ & =\frac{-4}{6}+\frac{15}{6}+\frac{12}{6} \\ & =\frac{-4+15+12}{6}=\frac{23}{6}\end{aligned}$

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