By what rational number should we multiply -15-56 to get -5-7 -

Let x be multiplied then x × 15/56 = 5/7 ⇒ x = 5/7÷ 15/56 ⇒ x = 5/7×56/ 15 = 280/ 105 = 280/105 = 280 ÷ 35/105 ÷ 35 = 8/3 ∴ Required rational number = 8/3 ...

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Byju's Answer

Standard VII

Mathematics

Multiplication and Division of Rational Numbers

By what ratio...

Question

By what rational number should we multiply $\frac{- 15}{56}$ to get $\frac{- 5}{7}$ ?

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Solution

Let x be multiplied then $x \times \frac{- 15}{56} = \frac{- 5}{7}$

$\Rightarrow x = \frac{- 5}{7} \div \frac{- 15}{56}$

$\Rightarrow x = \frac{- 5}{7} \times \frac{56}{- 15} = \frac{- 280}{- 105} = \frac{280}{105}$

$= \frac{280 \div 35}{105 \div 35} = \frac{8}{3}$

$∴$ Required rational number $= \frac{8}{3}$

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By what rational number should we multiply −1556 to get −57 ?

Let x be multiplied then x×−1556=−57 ⇒x=−57÷−1556 ⇒x=−57×56−15=−280−105=280105 =280÷35105÷35=83 ∴ Required rational number =83

By what rational number should we multiply $\frac{- 15}{56}$ to get $\frac{- 5}{7}$ ?