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By what number should -57 be divided so that the result is -1528? - Mathematics

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Question

By what number should `(-5)/7` be divided so that the result is `(-15)/28`?

Sum
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Solution

Consider the number as x

`(-5)/7 ÷ (-15)/28`

It can be written as

`(-5)/7 xx 1/x = (-15)/28`

By further calculation

`(-5)/(7x) = (-15)/28`

So we get

`x = 5/7 xx 28/15 = 4/3`

`x = 1 1/3`

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Concept for Problem Solving Using Operations on Rational Numbers
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Chapter 2: Rational Numbers - Exercise 2 (D)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 2 Rational Numbers
Exercise 2 (D) | Q 12
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