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By What Number Should We Multiply − 15 28 So that the Product May Be − 5 7 ?

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Question

By what number should we multiply \[\frac{- 15}{28}\] so that the product may be\[\frac{- 5}{7}?\]

Sum
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Solution

\[\text{Let the other number be x .} \]
\[ \therefore x \times \frac{- 15}{28} = \frac{- 5}{7}\]
\[\text{or}\ x = \frac{- 5}{7} \div \frac{- 15}{28}\]
\[\text{or}\ x = \frac{- 5}{7} \times \frac{28}{- 15}\]
\[\text{or}\ x = \frac{4}{3}\]
\[\text{Thus, the other number is} \frac{4}{3} .\]

 

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