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Find the sum: (5/3) + (3/5) Find the sum: (5/3) + (3/5)

 
Find the sum:   (5/3) + (3/5)
Find the sum:   (5/3) + (3/5)

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
7 months ago
Dear Student

Take the LCM of the denominators of the given rational numbers.
LCM of 3 and 5 is 15
Express each of the given rational numbers with the above LCM as the common denominator.
Now,
(5/3)= [(5×5)/ (3×5)] = (25/15)
(3/5)= [(3×3)/ (5×3)] = (9/15)
Then,
= (25/15) + (9/15) ... [∵denominator is same in both the rational numbers]
= (25 + 9)/15
= 34/15

​Thanks

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