Simplify: 1 -12 +2 -15 - Vidyadip

Question

Simplify:
$\frac{1}{-12}+\frac{2}{-15}$

✓

Answer

$\frac{1}{-12}=\frac{2}{-15}$
$\frac{1}{-12}=\frac{-1}{12}$
$\frac{2}{-15}=\frac{-2}{15}$
The LCM of the denominators 12 and 15 is 60.
Now,
We will express $\frac{-1}{12}$ and $\frac{-2}{15}$ in the form in which it taken denominator as 60.
$\frac{-1}{12}=\frac{-1\times5}{12\times5}=\frac{-5}{60}$
$\frac{-2}{15}=\frac{-2\times4}{15\times4}=\frac{-8}{60}$
So,
$\frac{-5}{60}+\frac{-8}{60}$
$=\frac{-5-8}{60}=\frac{-13}{60}$

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