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What Should Be Subtracted from ( 3 4 − 2 3 ) to Get − 1 6 ? - Mathematics

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प्रश्न

What should be subtracted from \[\left( \frac{3}{4} - \frac{2}{3} \right)\] to get\[\frac{- 1}{6}?\]

बेरीज

उत्तर

\[\text{Let x be subtracted .} \]
\[ \therefore (\frac{3}{4} - \frac{2}{3}) - x = \frac{- 1}{6}\]
\[ \Rightarrow (\frac{9}{12} - \frac{8}{12}) - x = \frac{- 1}{6}\]
\[ \Rightarrow (\frac{9 - 8}{12}) - x = \frac{- 1}{6}\]
\[ \Rightarrow x = \frac{1}{12} - \frac{- 1}{6}\]
\[ \Rightarrow x = \frac{1}{12} - \frac{- 2}{12}\]
\[ \Rightarrow x = \frac{1 - ( - 2)}{12}\]
\[ \Rightarrow x = \frac{1 + 2}{12}\]
\[ \Rightarrow x = \frac{3}{12}\]
\[ \Rightarrow x = \frac{1}{4}\]

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पाठ 1: Rational Numbers - Exercise 1.3 [पृष्ठ १९]

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आरडी शर्मा Mathematics [English] Class 8
पाठ 1 Rational Numbers
Exercise 1.3 | Q 14 | पृष्ठ १९

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