Evaluate: 5+-3 4 +-5 8 - Vidyadip

Question

Evaluate: $5+\frac{-3}{4}+\frac{-5}{8}$

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Answer

$ \begin{aligned} & 5+\frac{-3}{4}+\frac{-5}{8} \\ & \frac{5}{1}+\frac{-3}{4}+\frac{-5}{8} \end{aligned} $
$ =\frac{5 \times 8}{1 \times 8}+\frac{(-3) \times 2}{4 \times 2}+\frac{(-5) \times 1}{8 \times 1} $
$(\because$ L.C.M. of 1,4 and $8=8$ )
$ =\frac{40}{8}+\frac{-6}{8}+\frac{-5}{8} $
$ =\frac{40-6-5}{8}=\frac{40-11}{8}=\frac{29}{8} $

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