Question
Add the following rational numbers:
$\frac{-5}{36}\text{ and }\frac{-7}{12}$
$\frac{-5}{36}\text{ and }\frac{-7}{12}$
✓
Answer
$\frac{-5}{36}\text{ and }\frac{-7}{12}$
$=\frac{-7}{12}=\frac{-7\times3}{12\times3}=\frac{-21}{36}$
$( \because\text{LCM }\text{of }36,12=36)$
$\therefore\frac{-5}{36}+\frac{-5}{36}=\frac{-5}{36}+\frac{-21}{36}$
$=\frac{-5+(-21)}{36}=\frac{-5-21}{36}$
$=\frac{-26}{36}$ (Dividing by 2)
$=\frac{-13}{18}$
$=\frac{-7}{12}=\frac{-7\times3}{12\times3}=\frac{-21}{36}$
$( \because\text{LCM }\text{of }36,12=36)$
$\therefore\frac{-5}{36}+\frac{-5}{36}=\frac{-5}{36}+\frac{-21}{36}$
$=\frac{-5+(-21)}{36}=\frac{-5-21}{36}$
$=\frac{-26}{36}$ (Dividing by 2)
$=\frac{-13}{18}$
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