Question

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

Answer 1

Answer:

4 : 3 > 7 : 9

Step-by-step explanation:

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

$4 : 3 = \frac{4}{3} = \frac{4 \times 3}{3 \times 3} = \frac{12}{9} \\ \\ 7 : 9 = \frac{7}{9} \\ \\ \because \: 12 > 7 \\ \\ \therefore \: \frac{4}{3} > \frac{7}{9} \\ \\ \implies \: 4 : 3 > 7 : 9$

Answer 2

4:3

= 4/3

= 1.333333...


7:9

= 7/9

= 0.777777...



4:3 is greater than 7:9