Simplify: -16 9 +-5 12 - Vidyadip

Question

Simplify:
$\frac{-16}{9}+\frac{-5}{12}$

✓

Answer

$\frac{-16}{9}+\frac{-5}{12}$
The $LCM$ of the denominator $9$ and $12$ is $36.$
Now, We will express $\frac{-16}{9}$ and $\frac{-5}{12}$ in the form of in which it takes dinominator as $36.$
$\frac{-16}{9}=\frac{-16\times4}{9\times4}=\frac{-64}{36}$
$\frac{-5}{12}=\frac{-5\times3}{12\times3}=\frac{-15}{36}$
So,$\frac{-64}{36}+\frac{-15}{36}$
$=\frac{-64-15}{36}=\frac{-79}{36}$

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