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Evaluate: (- 7)/6 + 4/-15 + (-4)/-30 - Mathematics

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Question

Evaluate: `(- 7)/6 + 4/-15 + (-4)/-30`

Sum

Solution

`(- 7)/6 + 4/-15 + (-4)/-30`

`=(- 7)/6 + (-4)/15 + (4)/30`

`= (- 7 xx 5)/(6 xx 5) + (-4 xx 2)/(15 xx 2) + (4 xx 1)/(30 xx 1)`    (∵ L.C.M. of 6, 15, 30 = 30)

`= (-35)/30 + (-8)/30 + 4/30`

`= (- 35 - 8 + 4)/30`

`= (- 43 + 4)/30 = (-39)/30`

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

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 2 Rational Numbers
Exercise 2 (C) | Q 3.4
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