1. Rename the fraction in lowest terms. Exercise 4 24 1616 1616 = =

2. Rename the fraction in lowest terms. 80 140 4747 4747 = = Exercise

3. Rename the fraction in lowest terms. 40 112 5 14 = = Exercise

4. Ratio A ratio is a comparison of two numbers by division and is often written as a fraction.

5. Calvary Christian School has 192 students and 12 teachers. What is the student-teacher ratio? Example

6. If Calvary Christian School has 112 girls and 80 boys enrolled, what is the ratio of girls to boys? 112 80 7575 7575 = = 7 x 16 5 x 16 = = Example 1

7. If Calvary Christian School has 112 girls and 80 boys enrolled, what is the ratio of teachers to boys? 12 80 3 20 = = 3 x 4 20 x 4 = = Example 1

8. If Calvary Christian School has 112 girls and 80 boys enrolled, what is the ratio of boys to teachers? 80 12 20 3 = = 20 x 4 3 x 4 = = Example 1

9. A baseball team won eight games and lost ten. Write the ratio of games won to games played. won played 4949 4949 = = 8 18 = = 4 x 2 9 x 2 = = Example 2

10. A baseball team won eight games and lost ten. Write the ratio of games won to games lost. won lost 4545 4545 = = 8 10 = = 4 x 2 5 x 2 = = Example 2

11. Assume Jeff made 3 out of every 4 free throws in the course of the basketball season. What was the ratio of free throws made to those attempted? 3 to 4 Example

12. Assume Jeff made 3 out of every 4 free throws in the course of the basketball season. What was the ratio of free throws made to those missed? 3 to 1 Example

13. Rate A rate is a ratio comparing different kinds of measures.

14. Unit Rate A unit rate is a ratio that compares a quantity to one.

15. A car traveled 210 mi. in 4 hr. What was its unit rate? 52.5 mi./hr. miles hours 210 4 = = 210 ÷ 4 4 ÷ 4 52.5 1 = = Example 3

16. A plumber charges $288 for 6 hr. of work. What is his unit rate? $48/hr. dollars hour 288 6 = = 288 ÷ 6 6 ÷ 6 48 1 = = Example 4

17. Assume Jeff made 3 out of every 4 throws in the course of the basketball season. If he attempted 100 free throws in the season, how many did he make? 75 free throws Example

18. Assume Jeff made 3 out of every 4 throws in the course of the basketball season. If he made 60 free throws in the season, how many did he miss and how many did he attempt? 20 free throws missed; 80 free throws attempted Example

19. If Jeff makes 1 out of every 3 three-point attempts and 1 out of every 2 two-point attempts, is he better off shooting three-point shots or two-point shots? It doesn’t matter. Example

20. Three partners in a business have ownership in the ratio 3 : 5 : 7. How much will each get from $387,000 profit if it is divided on the basis of ratio of ownership? $77,400; $129,000; $180,600 Exercise

21. During biblical times the firstborn son in a Jewish family received twice as much inheritance as the other sons. If there are four sons in the family and the inheritance to be divided totals $875,000, how much will each inherit? firstborn: $350,000; other sons: $175,000 Exercise