By comparing the two ratios:
6:9 < 9:12
The given ratios are:
6:9 and 9:12
This can be written in fraction form as:
[tex]\frac{6}{9}[/tex] and [tex]\frac{9}{12}[/tex]
Reduce [tex]\frac{6}{9}[/tex] to the simplest term
[tex]\frac{6 \div 3}{9 \div 3}=\frac{2}{3}[/tex]
Reduce [tex]\frac{9}{12}[/tex] to the simplest term
[tex]\frac{9\div3}{12 \div 3}=\frac{3}{4}[/tex]
Compare [tex]\frac{2}{3}[/tex] and [tex]\frac{3}{4}[/tex] by using the LCM of the denominators
[tex]\frac{8<9}{12}[/tex]
Therefore, 6:9 < 9:12
Learn more on comparison of ratios here: https://brainly.com/question/2784798
