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Evaluate: (18/33 Xx (-22)/27) + ((13)/25 Xx (-75)/26) - Mathematics

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Question

Evaluate: `(18/33 xx (-22)/27) + ((13)/25 xx (-75)/26)`

Sum

Solution

`(18/33 xx (-22)/27) + ((13)/25 xx (-75)/26)`


`=> (18 xx (-22))/(33 xx 27) - (13 xx (-75))/(25 xx 26)`


`=> (2 xx (-2))/(3 xx 3) - (1 xx -3)/(1 xx 2)`


`=> (-4)/9 - ((-3)/2) = (-4)/9 + 3/2`

2 9, 2
3 9, 1
3 3, 1
  1, 1

 

 

 

 


L.C.M. of 9 and 2 = 2 × 3 × 3 = 18


`=> (-4 xx 2)/(9 xx 2) + (3 xx 9)/(2 xx 9)`

(∵ L.C.M. of 9 and 2 = 18)

`=> (-8 + 27)/18 = (19)/18 = 1 1/18`

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

APPEARS IN

Selina Concise Mathematics [English] Class 7 ICSE
Chapter 2 Rational Numbers
Exercise 2 (E) | Q 8.3
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