Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers3 Marks
Question
Add the following number:
$\frac{-5}{16}$ and $\frac{-7}{24}$
✓
Answer
$\frac{-5}{16}$ and $\frac{-7}{24}$
The $LCM$ of the denominators $16$ and $26$ is $48.$
Now,
We will express $\frac{-15}{16}$ and $\frac{-7}{24}$ in the form in which it taken denominator as $48.$
$\frac{-5}{16}\frac{-5\times3}{16\times3}=\frac{-15}{48}$
$\frac{7}{24}=\frac{7\times2}{24\times2}=\frac{14}{48}$
So,
$\frac{-15}{48}+\frac{14}{48}$
$=\frac{-15+14}{48}=\frac{-1}{48}$
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