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Arrange the following fraction in decending order 7/12 2/8 3/4 5/8. |
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Answer» Answer: 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. 2. Arrange the FOLLOWING fractions 1/2, 3/4, 7/8, 5/12 in descending order. First we find the L.C.M. of the denominators of the fractions to make the denominators same. L.C.M. of 2, 4, 8 and 12 = 24 1/2 = 1 × 12/2 × 12 = 12/24 (because 24 ÷ 2 = 12) 3/4 = 3 × 6/4 × 6 = 18/24 (because 24 ÷ 10 = 6) 7/8 = 7 × 3/8 × 3 = 21/24 (because 24 ÷ 20 = 3) 5/12 = 5 × 2/12 × 2 = 10/24 (because 24 ÷ 20 = 3) |
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