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Mathematics

Find the quotient:

−127÷(−16)\dfrac{-12}{7} \div (-16)

Rational Numbers

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Answer

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

Dividing,

−127÷(−16)=−127÷−161=−127×1−16=(−12)×17×(−16)=−12−112=328\dfrac{-12}{7} \div (-16) = \dfrac{-12}{7} \div \dfrac{-16}{1} \\[1em] = \dfrac{-12}{7} \times \dfrac{1}{-16} \\[1em] = \dfrac{(-12) \times 1}{7 \times (-16)} \\[1em] = \dfrac{-12}{-112} = \dfrac{3}{28}

Hence, −127÷(−16)=328\mathbf{\dfrac{-12}{7} \div (-16) = \dfrac{3}{28}}.

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