Question

Which is the largest ratio?

5/36, 2:9, 3 to 18, 1:3
5/36
2:9
3 to 18
1:3

Answer 1

1:3 is the largest ratio.

You find the ratio by dividing two numbers.

Answer 2

Answer: The largest ratio is (d) 1 : 3.

Step-by-step explanation: We are given to select the larges ratio among the given options.

The first ratio is

`(5)/(36).`

The second ratio is

`2:9=(2)/(9)=(2* 4)/(9* 4)=(8)/(36).`

The third ratio is

`3\textup{ to }18=(3)/(18)=(3* 2)/(18* 2)=(6)/(36).`

The fourth ratio is

`1:3=(1)/(3)=(1* 12)/(3* 12)=(12)/(36).`

Arranging all the ratios in ascending order, we have

`(5)/(36),~(6)/(36),~(8)/(36),~(12)/(36)\\\\\\\Rightarrow (5)/(36),~(3)/(18),~(2)/(9),~(1)/(3).`

Thus, the largest ratio is (d) 1 : 3.