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Simplify: 3 8 − − 2 9 + − 5 36 - Mathematics

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Question

Simplify:

\[\frac{3}{8} - \frac{- 2}{9} + \frac{- 5}{36}\]
Sum

Solution

\[\frac{3}{8} - \frac{- 2}{9} + \frac{- 5}{36}\]
\[\text{Taking the L . C . M .} \hspace{0.167em} \text{of the denominators:} \]
\[\frac{27}{72} - \frac{- 16}{72} + \frac{- 10}{72}\]
\[ = \frac{27 - ( - 16) + ( - 10)}{72}\]
\[ = \frac{27 + 16 - 10}{72}\]
\[ = \frac{33}{72}\]
\[ = \frac{11}{24}\]

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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 3.6 | Page 23

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