Arrange in ascending order 1 5 , 2 15 , 3 10 , 7 20

The given fractions are 1 5 , 2 15 , 3 10 , 7 20 . Since denominators are different, which are unlike fractions. Now, LCM of 5 , 15 , 10 and 20 is 60 . Convert them into like fractions with denominator 60 . 1 5 × 12 12 = 12 60 ; 2 15 × 4 4 = 8 60 ; 3 10 × 6 6 = 18 60 ; 7 20 × 3 3 = 21 60 Now these are like fractions (since denominators are equal). In like fractions , The fraction which has less numerator is smaller fraction. Now compare the obtained like fractions 12 60 , 8 60 , 18 60 , 21 60 and arrange from smallest to greatest numerator as 8 60 , 12 60 , 18 60 , 21 60 . Therefore, ascending order is 2 15 , 1 5 , 3 10 , 7 20 .

Arrange in ascending order 2 3 , 4 9 , 5 12 , 5 1

The given fractions are 2 3 , 4 9 , 5 12 , 5 1 . Since the denominators are different, which are unlike fractions. LCM of 3 , 9 , 12 and 1 is 36 Convert them into like fractions with denominator 36 . 2 3 × 12 12 = 24 36 ; 4 9 × 4 4 = 16 36 ; 5 12 × 3 3 = 15 36 ; 5 1 × 36 36 = 180 36 Now these are like fractions (since denominators are equal). In like fractions, The fraction which has less numerator is smaller fraction. Now compare the obtained like fractions and arrange from smallest to greatest numerator as 15 36 ; 16 36 ; 24 36 ; 180 36 Therefore, ascending order is 5 12 , 4 9 , 2 3 , 5 1 .

Arrange in ascending order 3 15 , 14 15 , 12 15 , 1 15 , 6 15

The given fractions are 3 15 , 14 15 , 12 15 , 1 15 , 6 15 . Since denominators are equal which are like fractions. For like fractions, the fraction that has the smaller numerator is smaller. Ascending order of numerators is 1 < 3 < 6 < 12 < 14 . Therefore, required ascending order of fractions is 1 15 , 3 15 , 6 15 , 12 15 , 14 15 .

Arrange in ascending order 7 8 , 1 6 , 3 4 , 2 3

The given fractions are 7 8 , 1 6 , 3 4 , 2 3 . Since the denominators are different, they are called unlike fractions. LCM of 8 , 6 , 4 and 3 is 24 . Convert them into like fractions with denominator 24 . 7 8 × 3 3 = 21 24 ; 1 6 × 4 4 = 4 24 ; 3 4 × 6 6 = 18 24 ; 2 3 × 8 8 = 16 24 Now compare the obtained like fractions and arrange from smallest to greatest numerator as 4 24 , 16 24 , 18 24 , 21 24 . Therefore, ascending order is 1 6 , 2 3 , 3 4 , 7 8 .

Arrange in descending order. 9 20 , 4 15 , 7 40 , 7 10

The given fractions are 9 20 , 4 15 , 7 40 , 7 10 . Since the denominators are different, they are called unlike fractions. LCM of 20 , 15 , 40 and 10 is 120 . Convert them into like fractions with denominator 120 . 9 20 × 6 6 = 54 120 , 4 15 × 8 8 = 32 120 , 7 40 × 3 3 = 21 120 , 7 10 × 12 12 = 84 120 Now these are like fractions (since denominators are equal). In like fractions, The fraction which has less numerator is smaller fraction. Now compare the obtained like fractions and arrange from greatest to smallest numerator as 84 120 , 54 120 , 32 120 , 21 120 . Therefore, descending order is 7 10 , 9 20 , 4 15 , 7 40 .

Arrange in descending order 2 7 , 3 14 , 5 28 , 4 21

The given fractions are 2 7 , 3 14 , 5 28 , 4 21 . The fractions given are unlike fractions. To compare the fractions, the fractions must bein like fractions. LCM of 7 , 14 , 28 and 21 is 84 . Convert them into like fractions with denominator 84 . 2 7 × 12 12 = 24 84 , 3 14 × 6 6 = 18 84 , 5 28 × 3 3 = 15 84 , 4 21 × 4 4 = 16 84 Now compare the obtained like fractions and arrange from greatest to smallest numerator as 24 84 , 18 84 , 16 84 , 15 84 . Therefore, descending order is 2 7 , 3 14 , 4 21 , 5 28