Question

arrange the following rational number in ascending order 3/7,4/14,5/21​

Answer 1

Answer:

Step-by-step explanation:

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.

Answer 2

Answer:

LCM of 7, 14 and 21 = 42

3/7 = 18/42

4/14 = 12/42

5/21 = 10/42

10/42 < 12/42 < 18/42

Hence, 5/21 < 4/14 < 3/7