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Find the sum:(i) (5/6) + 3 + (3/4)(ii) 2 (3/5) + 4 (7/10) + 2 (4/15) |
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Answer» (i) Given (5/6) + 3 + (3/4) Taking LCM for 6, 1 and 4 we get 12 Now we have to convert the given fractions into equivalent fractions with denominator 12 (5/6) + 3 + (3/4) = (5 × 2)/ (6 × 2) + (3 × 12)/ (1 × 12) + (3 × 3)/ (4 × 3) = (10/12) + (36/12) + (9/12) = (55/12) (ii) Given 2 (3/5) + 4 (7/10) + 2 (4/15) First convert given mixed fractions into improper fractions 2 (3/5) + 4 (7/10) + 2 (4/15) = (13/5) + (47/10) + (34/15) Taking LCM for 5, 10 and 15 we get 30 Now we have to convert the given fractions into equivalent fractions with denominator 30 2 (3/5) + 4 (7/10) + 2 (4/15) = (13/5) + (47/10) + (34/15) = (13 × 6)/ (5 × 6) + (47 × 3)/ (10 × 3) + (34 × 2)/ (15 × 2) = (78/30) + (141/30) + (68/30) = (287/30) |
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