Rename the fraction in lowest terms.Rename the fraction in lowest terms.

ExerciseExercise

4 244 24

1 61 6==

Rename the fraction in lowest terms.Rename the fraction in lowest terms.

80 14080 140

4 74 7==

ExerciseExercise

Rename the fraction in lowest terms.Rename the fraction in lowest terms.

40 11240 112

5 145 14==

ExerciseExercise

RatioRatio

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

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

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

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

ExampleExample

If Calvary Christian School has 112 girls and 80 boys enrolled, what is the ratio of girls to boys?

If Calvary Christian School has 112 girls and 80 boys enrolled, what is the ratio of girls to boys?

1128011280

7 57 5==7 x 16

5 x 167 x 165 x 16==

Example 1Example 1

If Calvary Christian School has 112 girls and 80 boys enrolled, what is the ratio of teachers to boys?

If Calvary Christian School has 112 girls and 80 boys enrolled, what is the ratio of teachers to boys?

12801280

3 203 20==3 x 4

20 x 43 x 4

20 x 4==

Example 1Example 1

If Calvary Christian School has 112 girls and 80 boys enrolled, what is the ratio of boys to teachers?

If Calvary Christian School has 112 girls and 80 boys enrolled, what is the ratio of boys to teachers?

80128012

20 3

20 3==20 x 4

3 x 420 x 43 x 4==

Example 1Example 1

A baseball team won eight games and lost ten. Write the ratio of games won to games played.

A baseball team won eight games and lost ten. Write the ratio of games won to games played.

wonplayed

wonplayed

4 94 9==8

188

18== 4 x 29 x 24 x 29 x 2==

Example 2Example 2

A baseball team won eight games and lost ten. Write the ratio of games won to games lost.

A baseball team won eight games and lost ten. Write the ratio of games won to games lost.

wonlostwonlost

4 54 5==8

108

10== 4 x 25 x 24 x 25 x 2==

Example 2Example 2

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?

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 43 to 4

ExampleExample

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?

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 13 to 1

ExampleExample

RateRate

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

Unit RateUnit Rate

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

A car traveled 210 mi. in 4 hr. What was its unit rate?A car traveled 210 mi. in 4 hr. What was its unit rate?

52.5 mi./hr.52.5 mi./hr.

mileshoursmileshours

2104

2104

==

210 ÷ 4 4 ÷ 4

210 ÷ 4 4 ÷ 4

52.51

52.51

==

Example 3Example 3

A plumber charges $288 for 6 hr. of work. What is his unit rate?

A plumber charges $288 for 6 hr. of work. What is his unit rate?

$48/hr.$48/hr.dollarshour

dollarshour

2886

2886

==

288 ÷ 6 6 ÷ 6

288 ÷ 6 6 ÷ 6

481

481

==

Example 4Example 4

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?

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 throws75 free throws

ExampleExample

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?

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 attempted20 free throws missed;

80 free throws attempted

ExampleExample

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?

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.It doesn’t matter.

ExampleExample

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?

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$77,400; $129,000; $180,600

ExerciseExercise

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?

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

firstborn: $350,000; other sons: $175,000

ExerciseExercise