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Express Each of the Following as a Rational Number of the Form P Q : − 7 4 + 5 3 + − 1 2 + − 5 6 + 2 - Mathematics

Sum

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

\[\frac{- 7}{4} + \frac{5}{3} + \frac{- 1}{2} + \frac{- 5}{6} + 2\]
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Solution

\[\frac{- 7}{4} + \frac{5}{3} + \frac{- 1}{2} + \frac{- 5}{6} + 2\]
\[ = \frac{- 21}{12} + \frac{20}{12} + \frac{- 6}{12} + \frac{- 10}{12} + \frac{24}{12}\]
\[ = \frac{( - 21) + 20 + ( - 6) + ( - 10) + 24}{12}\]
\[ = \frac{- 21 + 20 - 6 - 10 + 24}{12}\]
\[ = \frac{7}{12}\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 1 Rational Numbers
Exercise 1.4 | Q 2.5 | Page 23
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