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Mathematics

The number added to 5235\dfrac{2}{3} to get -1231\dfrac{2}{3} is :

  1. 4

  2. -7137\dfrac{1}{3}

  3. 6136\dfrac{1}{3}

  4. 7137\dfrac{1}{3}

Rational Numbers

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Answer

Let xx be added to 5235\dfrac{2}{3}. 523+x=−123⇒173+x=−53⇒x=−53−173⇒x=−5−173⇒x=−223⇒x=−7135\dfrac{2}{3} + x = -1\dfrac{2}{3}\\[1em] ⇒\dfrac{17}{3} + x = -\dfrac{5}{3}\\[1em] ⇒ x = \dfrac{-5}{3} - \dfrac{17}{3}\\[1em] ⇒ x = \dfrac{-5 - 17}{3}\\[1em] ⇒ x = \dfrac{-22}{3}\\[1em] ⇒ x = -7\dfrac{1}{3}

The number added to 5235\dfrac{2}{3} to get -1 23\dfrac{2}{3} is -7137\dfrac{1}{3}.

Hence, option 2 is correct option.

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