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Rational Numbers — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsRational Numbers4 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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