You can simplify both the given ratios and then can compare them.
The comparison can be written as 6:15 > 30:80
How to simplify a ratio?
A ratio is in the form a:b. You need to take out any common factor which is not 1 such that the remaining numbers in the ratio are still integers.
The ratio can be converted to fraction too.
How to compare the given two fractions?
Firstly we will simplify them as follows:
[tex]6:15 \implies \dfrac{6}{15} = \dfrac{3 \times 2}{3 \times 5} = \dfrac{2}{5}\\\\30:80 \implies \dfrac{30}{80} = \dfrac{5 \times 2 \times 3}{5 \times 2 \times 2 \times 2 \times 2} = \dfrac{3}{8}[/tex]
Making their denominator same, we will be able to compare the fraction just by looking at their numerators.
[tex]\dfrac{2}{5} = \dfrac{2 \times 8 }{5 \times 8} = \dfrac{16}{40}[/tex]
[tex]\dfrac{3}{8} = \dfrac{3 \times 5 }{8 \times 5} = \dfrac{15}{40}[/tex]
Thus, first fraction has 16 parts out of 40 parts but second one has 15 parts out of 40 parts, thus second one is bigger.
Thus, we have:
6:15 > 30:80
Learn more about fractions here:
https://brainly.com/question/12106245
