Maharashtra BoardEnglish MediumSTD 8MathsRational Numbers3 Marks
Question
Simplify:
$\frac{5}{26}+\frac{11}{-39}$
✓
Answer
$\frac{11}{-39}=\frac{-11}{39}$
The LCM of the denominator 36 and 39 is 78.
Now,
We will express $\frac{-3}{4}$ and $\frac{-11}{39}$ in the form of which it takes denominator as 78.
$\frac{5}{26}=\frac{5\times3}{26\times3}=\frac{15}{78}$
$\frac{-11}{39}=\frac{-11\times2}{39\times2}=\frac{-22}{78}$
So,
$\frac{15}{78}+\frac{-22}{78}$
$=\frac{15-22}{78}=\frac{-7}{-78}$
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