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Mathematics

By what rational number should −524\dfrac{-5}{24} be multiplied to get 10?

  1. 12

  2. -12

  3. 48

  4. -48

Rational Numbers

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Answer

Let the required rational number be xx.

According to the given condition,

⇒−524×x=10⇒x=10÷−524⇒x=101×24−5⇒x=10×24−5⇒x=240−5=−48\Rightarrow \dfrac{-5}{24} \times x = 10 \\[1em] \Rightarrow x = 10 \div \dfrac{-5}{24} \\[1em] \Rightarrow x = \dfrac{10}{1} \times \dfrac{24}{-5} \\[1em] \Rightarrow x = \dfrac{10 \times 24}{-5} \\[1em] \Rightarrow x = \dfrac{240}{-5} = -48

Hence, Option 4 is the correct option.

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