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 Compare ratios: word problems When Peter works out, he spends 12 minutes doing cardio and 18 minutes doing resistance training. Rogert's workout consists of 19 minutes of cardio and 17 minutes of resistance training. Who does a lower ratio of cardio to resistance training? In Peter's workout routine, the ratio of cardio to resistance training is 12 to 18. In Rogert's, the ratio is 19 to 17. We want to figure out which ratio is higher: $\frac{12}{18}$ and $\frac{19}{17}$ We can compare the ratios more easily if we express them as percentages. First write the ratio $\frac{12}{18}$ as a decimal. Then convert the decimal to a percentage. $\frac{12}{18}\approx\;0.66667=66.667%$ Do the same thing for $\frac{19}{17}$ $\frac{19}{17}\approx\;1.11765=111.765%$ Now compare the percentages. 66.667%  111.765% 66.667% is smaller than 111.765%. Peter had a lower ratio of cardio to resistance training. Which is the best buy: $4.08 for a 16-ounce box of cereal or$4.50 for an 18-ounce box of cereal? The ratio of the first buy is 4.08 to 16. The ratio of the second buy is 4.50 to 18. We want to figure out which ratio is lower: $\frac{4.08}{16}$ and $\frac{4.50}{18}$ We can compare the ratios more easily if we express them as percentages. First write the ratio $\frac{4.08}{16}$ as a decimal. Then convert the decimal to a percentage. $\frac{4.08}{16}=0.255=25.5%$ Do the same thing for $\frac{4.50}{18}$ $\frac{4.50}{18}=0.25=25%$ Now compare the percentages. 25.5%  25% 25% is smaller than 25.5%. The better buy is the second one.