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Simplify: 5 6 + − 2 5 − − 2 15 - Mathematics

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Question

Simplify:

\[\frac{5}{6} + \frac{- 2}{5} - \frac{- 2}{15}\]
Sum
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Solution

\[\frac{5}{6} + \frac{- 2}{5} - \frac{- 2}{15}\]
\[\text{Taking the L . C . M .} \hspace{0.167em} \text{of the denominators:} \]
\[\frac{25}{30} + \frac{- 12}{30} - \frac{- 4}{30}\]
\[ = \frac{25 + ( - 12) - ( - 4)}{30}\]
\[ = \frac{25 - 12 + 4}{30}\]
\[ = \frac{17}{30}\]

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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 3.5 | Page 23

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