What should be added to (-13 4 +-3 8 ) - Vidyadip

Question

What should be added to $\Big(\frac{-13}{4}+\frac{-3}{8}\Big)$

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Answer

$1-\Big(\frac{-13}{4}+\frac{-3}{8}\Big)$
LCM of 4 and 8 = 8
$\therefore1=\frac{1\times8}{1\times8}=\frac{8}{8}$
$\frac{-13}{4}=\frac{-13\times2}{4\times2}=\frac{-26}{8}$
$\therefore1-\Big(\frac{-13}{4}+\frac{-3}{8}\Big)$
$=\frac{8}{8}-\Big(\frac{-26}{8}+\frac{-3}{8}\Big)$
$=\frac{8}{8}+\frac{26}{8}+\frac{3}{8}$
$=\frac{8+26+3}{8}=\frac{37}{8}$

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