Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers5 Marks
Question
Simplify: $\frac{7}{9}+\frac{3}{-4}$
✓
Answer
$\frac{7}{9}+\frac{3}{-4}$ $\frac{3}{-7}=\frac{-3}{4}$
The $LCM$ of the denominator $9$ and $4$ is $36.$
Now, We will express $\frac{7}{9}$ and $\frac{-3}{4}$ in the form in which it takes denominator as $36$.
$\frac{7}{9}=\frac{7\times4}{9\times4}=\frac{28}{36}$
$\frac{-3}{4}=\frac{-3\times9}{4\times9}=\frac{-27}{24}$
So, $\frac{28}{36}+\frac{-27}{36}$
$=\frac{28-27}{36}=\frac{1}{36}$
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