Rename the fraction in lowest terms.

Exercise

4 24

1 6=

Rename the fraction in lowest terms.

80 140

4 7=

Exercise

Rename the fraction in lowest terms.

40 112

5 14=

Exercise

Ratio

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?

Example

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

11280

7 5=7 x 16

5 x 16=

Example 1

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

1280

3 20=3 x 4

20 x 4=

Example 1

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

8012

20 3=20 x 4

3 x 4=

Example 1

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

wonplayed

4 9=8

18= 4 x 29 x 2=

Example 2

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

wonlost

4 5=8

10= 4 x 25 x 2=

Example 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?

3 to 4

Example

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

Rate

A rate is a ratio comparing different kinds of measures.

Unit Rate

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?

52.5 mi./hr.

mileshours

2104=

210 ÷ 4 4 ÷ 4

52.51=

Example 3

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

$48/hr.dollarshour

2886=

288 ÷ 6 6 ÷ 6

481=

Example 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?

75 free throws

Example

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

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

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

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