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Mathematics

The number subtracted from 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 subtracted from 5235\dfrac{2}{3}.

523−x=−123⇒173−x=−53⇒x=173+53⇒x=17+53⇒x=223⇒x=7135\dfrac{2}{3} - x = -1\dfrac{2}{3}\\[1em] ⇒\dfrac{17}{3} - x = -\dfrac{5}{3}\\[1em] ⇒ x = \dfrac{17}{3} + \dfrac{5}{3}\\[1em] ⇒ x = \dfrac{17 + 5}{3}\\[1em] ⇒ x = \dfrac{22}{3}\\[1em] ⇒ x = 7\dfrac{1}{3}

The number subtracted from 5235\dfrac{2}{3} to get -1231\dfrac{2}{3} is 7137\dfrac{1}{3}.

Hence, option 4 is correct option.

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