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Question

By what numbers should we multiply $$\dfrac{-15}{20}$$ so that the product may be $$\dfrac{-5}{7}$$ ?

Solution
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Let the number be $$ x$$

According to question,
$$x \times \dfrac{-15}{20} = \dfrac{-5}{7}$$
$$\Rightarrow x = \dfrac{(-5 )\times 20}{7 \times (-15)}$$
$$\Rightarrow x = \dfrac{22}{21}$$

Hence, The other number is $$\dfrac{22}{21}$$.

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