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Mathematics

Find the product :

724×(−48)\dfrac{7}{24} \times (-48)

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,

724×(−48)=724×−481=7×(−48)24×1=−33624=−14\dfrac{7}{24} \times (-48) = \dfrac{7}{24} \times \dfrac{-48}{1} \\[1em] = \dfrac{7 \times (-48)}{24 \times 1} \\[1em] = \dfrac{-336}{24} \\[1em] = -14

Hence, 724×(−48)=−14\mathbf{\dfrac{7}{24} \times (-48) = -14}.

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