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Simplify Each of the Following and Write as a Rational Number of the Form P Q : − 4 5 + − 7 10 + − 8 15 - Mathematics

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Question

Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]

\[\frac{- 4}{5} + \frac{- 7}{10} + \frac{- 8}{15}\]

 

Sum

Solution

\[\frac{- 4}{5} + \frac{- 7}{10} + \frac{- 8}{15}\]
\[ = \frac{- 24}{30} + \frac{- 21}{30} + \frac{- 16}{30}\]
\[ = \frac{( - 24) + ( - 21) + ( - 16)}{30}\]
\[ = \frac{- 24 - 21 - 16}{30}\]
\[ = \frac{- 61}{30}\]

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Chapter 1: Rational Numbers - Exercise 1.4 [Page 22]

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RD Sharma Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise 1.4 | Q 1.4 | Page 22

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