Question

Which ratio is greater? 4:3 or 7:9. (Show necessary steps and calculations for your answer)

Answer 1

4:3

= 4/3

= 1.333333...


7:9

= 7/9

= 0.777777...



4:3 is greater than 7:9

Answer 2

4 : 3 > 7 : 9

Explanation:

In order to compare two ratios or fractions, we make their denominators equal and then equate their numerators.

`4 : 3 = (4)/(3) = (4 * 3)/(3 * 3) = (12)/(9) \\ \\ 7 : 9 = (7)/(9) \\ \\ \because \: 12 > 7 \\ \\ \therefore \: (4)/(3) > (7)/(9) \\ \\ \implies \: 4 : 3 > 7 : 9`