Arrange the following fractions in descending order 3/8, 5/6, 7/16, 11/24
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First we find the L.C.M. of the denominators of the fractions to make the denominators same.
L.C.M. of 6, 10 and 20
L.C.M. of 6, 10 and 20 = 2 × 5 × 3 × 1 × 2 = 60
5/6 = 5 × 10/6 × 10 = 50/60 (because 60 ÷ 6 = 10)
7/10 = 7 × 6/10 × 6 = 42/60 (because 60 ÷ 10 = 6)
11/20 = 11 × 3/20 × 3 = 33/60 (because 60 ÷ 20 = 3)
Now we compare the like fractions 50/60, 42/60 and 33/60
Comparing numerators, we find that 50 > 42 > 33.
Therefore, 50/60 > 42/60 > 33/60 or 5/6 > 7/10 > 11/20
The descending order of the fractions is 5/6, 7/10, 11/20
Step-by-step explanation:
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