Arrange the given ratios in descending order
15 : 7, 5 : 11 and 21 : 77.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 15 : 7 > 5 : 11 > 21 : 77
15 ∶ 7, 5 ∶ 11 and 21 ∶ 77
In fraction form -
15/7, 5/11, 21/77
Make the denominators the same by writing the given fractions with a common denominator.
LCM (7, 11, 77) = 77
15/7 = (15 × 11)/(7 × 11) = 165/77
5/11 = (5 × 7)/(11 × 7) = 35/77
21/77 = (21 × 1)/(77 × 1) = 21/77
15/7 > 5/11 > 21/77
The descending order = 15 : 7 > 5 : 11 > 21 : 77