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What Should Be Added to ( 2 3 + 3 5 ) to Get − 2 15 ? - Mathematics

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Question

What should be added to \[\left( \frac{2}{3} + \frac{3}{5} \right)\] to get\[\frac{- 2}{15}?\]

Sum

Solution

\[\text{Let x be added .} \]
\[ \therefore x + (\frac{2}{3} + \frac{3}{5}) = \frac{- 2}{15}\]
\[ \Rightarrow x + (\frac{10}{15} + \frac{9}{15}) = \frac{- 2}{15}\]
\[ \Rightarrow x + (\frac{10 + 9}{15}) = \frac{- 2}{15}\]
\[ \Rightarrow x = \frac{- 2}{15} - \frac{19}{15}\]
\[ \Rightarrow x = \frac{- 2 - 19}{15}\]
\[ \Rightarrow x = \frac{- 21}{15}\]
\[ \Rightarrow x = \frac{- 7}{5}\]

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Chapter 1: Rational Numbers - Exercise 1.3 [Page 19]

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RD Sharma Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise 1.3 | Q 12 | Page 19

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Material Recycled
Paper `5/11`
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State Male `bb(p/q)` form Lowest terms
Andhra Pradesh 61.6    
Assam 57.1    
Bihar 60.7    
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Haryana 64.1    
Himachal Pradesh 65.1    
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Kerala 70.6    
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