Question
Simplify: $\frac{-13}{8}+\frac{5}{36}$
✓
Answer
$\frac{-13}{8}+\frac{5}{36}$ The $LCM$ of the denominator $8$ and $36$ is $72$.
Now, We will express $\frac{-13}{8}$ and $\frac{5}{36}$ in the form in which it takes danominator as $72$.
$\frac{-13}{8}=\frac{-13\times9}{8\times9}=\frac{-117}{72}$
$\frac{5}{36}=\frac{5\times2}{36\times2}=\frac{10}{72}$
So, $\frac{-117}{72}+\frac{10}{72}$
$=\frac{-117+10}{72}=\frac{-107}{72}$
Now, We will express $\frac{-13}{8}$ and $\frac{5}{36}$ in the form in which it takes danominator as $72$.
$\frac{-13}{8}=\frac{-13\times9}{8\times9}=\frac{-117}{72}$
$\frac{5}{36}=\frac{5\times2}{36\times2}=\frac{10}{72}$
So, $\frac{-117}{72}+\frac{10}{72}$
$=\frac{-117+10}{72}=\frac{-107}{72}$
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