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Rational Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers3 Marks
Question
By what rational number should we multiply $\frac{-15}{56}$ to get $\frac{-5}{7}$?
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Answer

Let $x$ be multiplied
Then,
$\text{x}=\frac{-15}{56}=\frac{-5}{7}$
$\Rightarrow\text{x}=\frac{-5}{7}\div\frac{-15}{56}$
$\Rightarrow\text{x}=\frac{-5}{7}\times\frac{56}{-15}$
$=\frac{-280}{-105}=\frac{280}{105}$
$=\frac{280\div35}{105\div35}$
$=\frac{8}{3}$
$\therefore$ Required rational number $=\frac{8}{3}$

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