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:
\(\frac{6}{9}\) and \(\frac{9}{12}\)
Reduce \(\frac{6}{9}\) to the simplest term
\(\frac{6 \div 3}{9 \div 3}=\frac{2}{3}\)
Reduce \(\frac{9}{12}\) to the simplest term
\(\frac{9\div3}{12 \div 3}=\frac{3}{4}\)
Compare \(\frac{2}{3}\) and \(\frac{3}{4}\) by using the LCM of the denominators
\(\frac{8<9}{12}\)
Therefore, 6:9 < 9:12
Learn more on comparison of ratios here: https://brainly.com/question/2784798
