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2. Then/Now You have already learned operations with fractions. (Lessons 3–3 and 3–4) Write ratios as fractions in simplest form. Simplify ratios involving measurements.

3. Concept Each is read, "the ratio of a to b." Each ratio should be in simplest form. Find the ratio of boys to girls in this class

4. Example 1 Write Ratios in Simplest Form A team won 12 out of 18 games. Find the ratio of: a) wins to total games b) wins to losses a) ÷6 Divide the numerator and the denominator by the GCF, 6. 12 18 2323

5. Example 1 Write Ratios in Simplest Form A team won 12 out of 18 games. Find the ratio of: b) wins to losses First, find the number of losses: 18 – 12 = 6 Then write the ratio of wins (12) to losses (6) as a fraction. ÷6 Divide the numerator and the denominator by the GCF, 6. 12 6 2121 The ratio of wins to losses is 2 to 1. This means the for every 2 wins the team had 1 loss or the team had twice as many wins as losses.

6. Example 1 Express the ratio 8 golden retrievers out of 12 dogs as a fraction in simplest form. A. B. C. D.

7. Example 2 Twelve out of 30 joggers are male. Write this ratio as a fraction in simplest form. A. B. C. D.

8. Example 3 Write Ratios As Fractions Express the ratio 6 days to 2 weeks as a fraction in simplest form. The unit needs to be the same, so we have to convert 2 weeks to 14 days. Then, divide the numerator and denominator by the GCF, 2. Written in simplest form, the ratio is 3 to 7. 6 days 2 weeks 6 days ÷ 2 14 days ÷ 2 = = 3737

9. Example 3 Write Ratios As Fractions Express the ratio 21 inches to 2 yards as a fraction in simplest form. Convert 2 yards to 72 inches. Then, divide the numerator and denominator by the GCF, 3. Written in simplest form, the ratio is 7 to 24. 21 inches 72 inches 1 yard = 36 inches ÷ 3

10. Example 3 Express the ratio 4 feet to 18 inches as a fraction in simplest form. A. B. C. D.

11. End of the Lesson