Simplify: 5 4 − 7 6 − − 2 3 - Mathematics

Sum

Simplify:

$\frac{5}{4} - \frac{7}{6} - \frac{- 2}{3}$

Solution

$\frac{5}{4} - \frac{7}{6} - \frac{- 2}{3}$
$\text{Taking the L . C . M .} \hspace{0.167em} \text{of the denominators:}$
$\frac{15}{12} - \frac{14}{12} - \frac{- 8}{12}$
$= \frac{15 - 14 - ( - 8)}{12}$
$= \frac{15 - 14 + 8}{12}$
$= \frac{9}{12}$
$= \frac{3}{4}$

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 1 Rational Numbers
Exercise 1.4 | Q 3.3 | Page 23