Arrange the following fractions in descending order. a. 3 4 , 13 16 , 7 12

The given fractions are 3 4 , 13 16 , 7 12 Fractions can be compared by converting them into like fractions and then arranging them in ascending or descending order. LCM of 4 , 16 , 12 is 48 . . Thus we convert all the denominators equivalent to the LCM of denominators. Now, 3 4 = 3 × 12 4 × 12 = 36 48 13 16 = 13 × 3 16 × 3 = 39 48 7 12 = 7 × 4 12 × 4 = 28 48 We know, 28 < 36 < 39 39 48 , 36 48 , 28 48 Hence, the following fractions in descending order is 39 48 , 36 48 , 28 48 . .

Arrange the following fractions in descending order: 2 3 , 8 15 , 5 12 , 13 16

The given fractions are 2 3 , 8 15 , 5 12 , 13 16 Fractions can be compared by converting them into like fractions and then arranging them in ascending or descending order. LCM of 3 , 15 , 12 , 16 is 240 . Thus we convert all the denominators equivalent to the LCM of denominators. Now, 2 3 = 2 × 80 3 × 80 = 160 240 8 15 = 8 × 16 15 × 16 = 128 240 5 12 = 5 × 20 12 × 20 = 100 240 13 16 = 13 × 5 16 × 15 = 195 240 We know, 100 < 128 < 160 < 195 ⇒ 195 240 , 160 240 , 128 240 , 100 240 Hence, the following fractions in descending order is 195 240 , 160 240 , 128 240 , 100 240 .

Arrange the following fractions in descending order: 5 6 , 7 8 , 4 15 , 8 13

The given fractions are 5 6 , 7 8 , 4 15 , 8 13 Fractions can be compared by converting them into like fractions and then arranging them in ascending or descending order. LCM of 6 , 8 , 15 , 13 is 1690 . Thus we convert all the denominators equivalent to the LCM of denominators. Now, 5 6 = 2 × 80 3 × 80 = 160 240 8 15 = 8 × 16 15 × 16 = 128 240 5 12 = 5 × 20 12 × 20 = 100 240 13 16 = 13 × 5 16 × 15 = 195 240 We know, 100 < 128 < 160 < 195 ⇒ 195 240 , 160 240 , 128 240 , 100 240 Hence, the following fractions in descending order is 195 240 , 160 240 , 128 240 , 100 240 .