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Find the sum: (-9/10) + (22/15) Find the sum: (-9/10) + (22/15)

Find the sum:   (-9/10) + (22/15)
Find the sum:   (-9/10) + (22/15)

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Take the LCM of the denominators of the given rational numbers.
LCM of 10 and 15 is 30
Express each of the given rational numbers with the above LCM as the common denominator.
Now,
(-9/10)= [(-9×3)/ (10×3)] = (-27/30)
(22/15)= [(22×2)/ (15×2)] = (44/30) Then,
= (-27/30) + (44/30) ... [∵denominator is same in both the rational numbers] = (-27 + 44)/30
= (17/30)

Thanks

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