Arrange the following fractions in ascending order:3/4 ,5/6,7/911/12
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3/4), (5/6), (7/9), (11/12)
LCM of 4, 6, 9, 12 = 2× 2× 3× 3=36
Now, let us change each of the given fraction into an equivalent fraction having 36 as the denominator.
[(3/4) × (9/9)] = (27/36) [(5/6) × (6/6)] = (30/36) [(7/9) × (4/4)] = (28/360 [(11/12) × (3/3)] = (33/36)
Clearly, (27/36) < (28/36) < (30/36) < (33/36) Hence, (3/4) < (7/9) < (5/6) < (11/12)
Hence, the given fractions in ascending order are
(3/4)≤ (7/9)≤ (5/6)≤ (11/12)
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