Add the following rational numbers: -7 27 and 5 18 - Vidyadip

Question

Add the following rational numbers:
$\frac{-7}{27}\text{ and }\frac{5}{18}$

✓

Answer

$\frac{-7}{27}\text{ and }\frac{5}{18}$
$\frac{-7}{27}=\frac{-7\times2}{27\times2}=\frac{-14}{54}$
$(\because\text{LCM }\text{of }27,18=54)$
$\frac{5}{18}=\frac{5\times3}{18\times3}=\frac{15}{54}$
$\therefore\frac{-7}{27}+\frac{5}{8}=\frac{-14}{54}+\frac{15}{54}$
$=\frac{-14+15}{54}=\frac{1}{54}$

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