Final answer:
To arrange the ratios from least to greatest, convert them into fractions or decimal equivalents. Ratio c) 9/16 is the least, followed by ratios a) and d) 5/8, and ratio b) 11/16 is the greatest.
Step-by-step explanation:
To arrange the given ratios from least to greatest, we first need to express each ratio in the form of a fraction and then compare their decimal equivalents or simplify them to a common denominator.
- Ratio a) 5:8 as a fraction is 5/8.
- Ratio b) 11:16 as a fraction is 11/16.
- Ratio c) 18:32 as a fraction can be simplified to 9/16.
- Ratio d) 5:8 is a repetition of ratio a).
Comparing these fractions:
- 5/8 = 0.625
- 9/16 (from 18:32) = 0.5625
- 11/16 = 0.6875
When we put these decimals in order from least to greatest, we get:
- Ratio c) 9/16
- Ratio a) and d) 5/8
- Ratio b) 11/16