Question

The product of two rational numbers is -28/81. If one of the number is 14/27 then the other one is​

Answer 1

Answer in above Picture.

Hope it helps you.

Answer 2

☯ Let the other number be x.

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• $\sf{One\:Number\:is\:{\dfrac{14}{27}}}$

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$\:\:\:\:\:\:\:{\sf{\underline{\bigstar{\bold{According\:to\:the\:given\:Question:}}}}}$

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• One Number $\:\times\:$Other Number =$\:{\dfrac{-28}{21}}$

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$\:\:\:\:\:\:\:{\dashrightarrow\:\sf{\dfrac{14}{27}}\:\times\:x\:=\:{\dfrac{-28}{21}}}$

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$\:\:\:\:\:\:\:{\dashrightarrow\:\sf{\dfrac{14x}{27}}\:=\:{\dfrac{-28}{21}}}$

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$\:\:\:\:\:\:\:{\dashrightarrow\:\sf{14x\:=\:{\dfrac{-28\:\times\:27}{21}}}}$

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$\:\:\:\:\:\:\:{\dashrightarrow\:\sf{14x\:=\:-36}}$

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$\:\:\:\:\:\:\:{\dashrightarrow\:\sf{x\:=\:{\dfrac{-36}{14}}}}$

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$\:\:\:\:\:\:\:{\dashrightarrow\:\sf{x\:=\:{\dfrac{-18}{7}}}}$

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$\:\:\:\:\:\:\therefore\:{\underline{\sf{Hence,\: the\:other\:number\:is\:{\sf{\bf{\dfrac{-18}{7}}}}}}}.$

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• One Number $\:\times\:$Other Number =$\:{\dfrac{-28}{21}}$

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$\:\:\:\:\:\::\:\Longrightarrow\:\sf{\dfrac{14}{27}}\:\times\:{\dfrac{-18}{7}}\:=\:{\dfrac{-28}{21}}$

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$\:\:\:\:\:\::\:\Longrightarrow\:\sf{\dfrac{-252}{189}}\:=\:{\dfrac{-28}{21}}$

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$\:\:\:\:\:\::\:\Longrightarrow\:\sf\cancel{\dfrac{-84}{63}}\:=\:{\dfrac{-28}{21}}$

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$\:\:\:\:\:\::\:\Longrightarrow\:\sf{\dfrac{-28}{21}}\:=\:{\dfrac{-28}{21}}$

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