Question
Add the following rational number: $\frac{3}{4}$ and $\frac{-5}{8}$
✓
Answer
Clearly, denominators of the given number are positive.
The $LCM$ of the denominators $4$ and $8$ is $8$.
Now, will express $34$ in the form in which it taken the denominatore as $8$.
$\frac{3\times2}{4\times2}=\frac{6}{8}=\frac{3}{4}$ Now, $\frac{-5}{8}+\frac{6}{8}$
$=\frac{-5+6}{8}=\frac{1}{8}$
The $LCM$ of the denominators $4$ and $8$ is $8$.
Now, will express $34$ in the form in which it taken the denominatore as $8$.
$\frac{3\times2}{4\times2}=\frac{6}{8}=\frac{3}{4}$ Now, $\frac{-5}{8}+\frac{6}{8}$
$=\frac{-5+6}{8}=\frac{1}{8}$
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