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Simplify: ( 13 7 × 11 26 ) − ( − 4 3 × 5 6 ) - Mathematics

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Question

Simplify:

\[\left( \frac{13}{7} \times \frac{11}{26} \right) - \left( \frac{- 4}{3} \times \frac{5}{6} \right)\]
Sum

Solution

\[ (\frac{13}{7} \times \frac{11}{26}) - (\frac{- 4}{3} \times \frac{5}{6})\]
\[ = \frac{1 \times 11}{7 \times 2} - \frac{- 2 \times 5}{3 \times 3}\]
\[ = \frac{11}{14} - \frac{- 10}{9}\]
\[ = \frac{11 \times 9 + 10 \times 14}{126}\]
\[ = \frac{239}{126}\]

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Chapter 1: Rational Numbers - Exercise 1.5 [Page 26]

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RD Sharma Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise 1.5 | Q 4.7 | Page 26

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