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Mathematics

Find the quotient:

−9÷(−518)-9 \div \left(\dfrac{-5}{18}\right)

Rational Numbers

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Answer

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

Dividing,

−9÷(−518)=−91×18−5=(−9)×181×(−5)=−162−5=1625=3225-9 \div \left(\dfrac{-5}{18}\right) = \dfrac{-9}{1} \times \dfrac{18}{-5} \\[1em] = \dfrac{(-9) \times 18}{1 \times (-5)} \\[1em] = \dfrac{-162}{-5} = \dfrac{162}{5} \\[1em] = 32\dfrac{2}{5}

Hence, −9÷(−518)=3225\mathbf{-9 \div \left(\dfrac{-5}{18}\right) = 32\dfrac{2}{5}}.

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