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

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Question

Simplify:

\[\frac{5}{4} - \frac{7}{6} - \frac{- 2}{3}\]
Sum

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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Chapter 1: Rational Numbers - Exercise 1.4 [Page 23]

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RD Sharma Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise 1.4 | Q 3.3 | Page 23

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