Question
Add the following rational numbers:
$\frac{-9}{24}\text{and}\frac{-1}{18}$
$\frac{-9}{24}\text{and}\frac{-1}{18}$
✓
Answer
$\frac{-9}{24}\text{and}\frac{-1}{18}$
LCM of 24 and 18 = 72
$\therefore\frac{-9}{24}=\frac{-9\times3}{24\times3}=\frac{-27}{72}$
$\frac{-1}{18}=\frac{-1\times4}{18\times4}=\frac{-4}{72}$
$\therefore\frac{-9}{24}+\frac{-1}{18}=\frac{-27}{72}+\frac{-4}{72}$
$=\frac{-27+(-4)}{72}=\frac{-27-4}{72}$
$=\frac{-31}{72}$
LCM of 24 and 18 = 72
$\therefore\frac{-9}{24}=\frac{-9\times3}{24\times3}=\frac{-27}{72}$
$\frac{-1}{18}=\frac{-1\times4}{18\times4}=\frac{-4}{72}$
$\therefore\frac{-9}{24}+\frac{-1}{18}=\frac{-27}{72}+\frac{-4}{72}$
$=\frac{-27+(-4)}{72}=\frac{-27-4}{72}$
$=\frac{-31}{72}$
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