Mia used the following reasoning to determine which paint is redder:
"I think it will be difficult to compare the two ratios in the problem because the numbers are so large. Maybe if I find equivalent ratios that have smaller numbers, it will be easier to solve the problem.
"The ratio of red to yellow in the Sunset paint is . This ratio is equivalent to the ratio .
"The ratio of red to yellow in the Apple paint is . This ratio is equivalent to the ratio .
"It’s easy to compare and . I know that is greater than . So, the Sunset paint is redder than the Apple paint."
- Talk to your partner about Mia's reasoning. Why is it more difficult to compare and than it is to compare and ?