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Re-arrange Suitably and Find the Sum in Each of the Following: 1 8 + 5 12 + 2 7 + 7 12 + 9 7 + − 5 16 - Mathematics

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Question

Re-arrange suitably and find the sum in each of the following:

\[\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}\]
Sum

Solution

\[(\frac{1}{8} + \frac{- 5}{16}) + (\frac{5}{12} + \frac{7}{12}) + (\frac{2}{7} + \frac{9}{7})\]
\[ = (\frac{2 - 5}{16}) + (\frac{5 + 7}{12}) + (\frac{2 + 9}{7})\]
\[ = \frac{- 3}{16} + \frac{12}{12} + \frac{11}{7}\]
\[ = \frac{- 63 + 336 + 528}{336}\]
\[ = \frac{801}{336}\]
\[ = \frac{267}{112}\]

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Chapter 1: Rational Numbers - Exercise 1.2 [Page 14]

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RD Sharma Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise 1.2 | Q 6.6 | Page 14

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