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Mathematics

Find the product :

−316×8−15\dfrac{-3}{16} \times \dfrac{8}{-15}

Rational Numbers

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Answer

The product of two rational numbers ab and cd\dfrac{a}{b} \text{ and } \dfrac{c}{d} is given by ab×cd=a×cb×d\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d}.

Multiplying,

−316×8−15=(−3)×816×(−15)=−24−240=110\dfrac{-3}{16} \times \dfrac{8}{-15} = \dfrac{(-3) \times 8}{16 \times (-15)} \\[1em] = \dfrac{-24}{-240} \\[1em] = \dfrac{1}{10}

Hence, −316×8−15=110\mathbf{\dfrac{-3}{16} \times \dfrac{8}{-15} = \dfrac{1}{10}}.

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