Arrange the following in descending order: (i) 2/9, 2/3, 8/21 (ii) 1/5, 3/7, 7/10

Solution:

Convert the given fractions into like fractions so that all of them have the same denominator. Now the fractions can be easily arranged into descending order by comparing their numerators.

(i) 2/9, 2/3, 8/21

Converting them into like fractions, we get

= (2 × 7)/(9 × 7), (2 × 21)/(3 × 21), (8 × 3)/(21 × 3)

= 14/63, 42/63, 24/63

Arranging in descending order

42/63 > 24/63 > 14/63

Therefore,

2/3, 8/21, 2/9 are in the descending order

(ii) 1/5, 3/7, 7/10

Converting them into like fractions, we get

= (1 × 14)/(5 × 14), (3 × 10)/(7 × 10), (7 × 7)/(10 × 7)

=  14/70, 30/70, 49/70,

Arranging in descending order

49/70 > 30/70 > 14/70

Therefore,

7/10, 3/7, 1/5 are in the descending order

☛ Check: NCERT Solutions for Class 7 Maths Chapter 2

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Video Solution:

Arrange the following in descending order: (i) 2/9, 2/3, 8/21 (ii) 1/5, 3/7, 7/10

NCERT Solutions Class 7 Maths Chapter 2 Exercise 2.1 Question 2

Summary:

The descending order of the fractions (i) 2/9, 2/3, 8/21 (ii) 1/5, 3/7, 7/10 are: (i) 2/3, 8/21, 2/9 and (ii) 7/10, 3/7, 1/5 respectively.

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