Question

Arrange the following ratios in ascending order :

2:3, 4:5, 1:2, 3:4 and 9:10

• A. 1:2<4:5<3:4<3:4<9:10
• B. 1:2<2:3<3:4<4:5<9:10
• C. 2:3<1:2<3:4<4:5<9:10
• D. 1:2<2:3<3:4<9:10<4:5

Answer 1

The correct option is B

1:2<2:3<3:4<4:5<9:10

For simplifying the process of comparison, we change the fractions to like terms. For that, we find the LCM of the denominators. It is 60.

On multiplying the numerators and denominators with the corresponding terms, we get,

40:60, 48:60, 30:60, 45:60, 54:60

Now, we can compare them conveniently.

30:60<40:60<45:60<48:60<54:60

=> 1:2<2:3<3:4<4:5<9:10