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Mathematics

(−59÷23)\left(\dfrac{-5}{9} \div \dfrac{2}{3}\right) = ?

  1. −52\dfrac{-5}{2}

  2. −56\dfrac{-5}{6}

  3. −1027\dfrac{-10}{27}

  4. −65\dfrac{-6}{5}

Rational Numbers

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Answer

To divide one rational number by another, multiply the dividend by the reciprocal of the divisor.

−59÷23=−59×32=(−5)×39×2=−1518=−56\dfrac{-5}{9} \div \dfrac{2}{3} = \dfrac{-5}{9} \times \dfrac{3}{2} \\[1em] = \dfrac{(-5) \times 3}{9 \times 2} \\[1em] = \dfrac{-15}{18} = \dfrac{-5}{6}

Hence, Option 2 is the correct option.

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