Ratios & Unit RatesRatios & Unit RatesRatios & Unit RatesRatios & Unit Rates

6.1-6.26.1-6.2

Ratio• A ratio is a comparison of two

numbers by division. Each number in a ratio is called a term.

• There are three ways to write ratios.Ex: 6 cups parts mix to 2 cups pretzels1. 6 to 2 (words)2. 6:2 (With a symbol)3. 6/2 (As a fraction)

Example 1: 3 Ways to Write a Ratio

PARTY MIXMakes 6 Cups

• 4 cups cereal• 2 cups pretzels

• 3 tbsp Worcestershire

Sauce

Use the party mix recipe at the left. Write each ratio in 3 ways.

a. Amount of cereal to amount of pretzels

b. Amount of cereal to amount of party mix

c. Amount of pretzels to cereal

d. Amount of pretzels to party mix

Example 1 answersa. 4 to 2, 4:2, 4/2b. 4 to 6, 4:6, 4/6c. 2 to 4, 2:4, 2/4d. 2 to 6, 2:6, 2/6

Equal Ratios• Two ratios that name the same

number are equal ratios. You can find equal ratios by multiplying or dividing each term of a ratio by the same nonzero number

Example 2: Writing Equal Ratios

• Write two different ratios equal to 4/6

4:6 4:6DIVIDE BY 2 x 3 x 3

2:3 12:18

Write two different ratios equal to each ratio.

a. 10/35b. 12:3c. 8 to 22

Answersa. 2/7, 20/70b. 4:1, 8:2c. 4 to 11, 16 to 44

Ratios in Simplest Form12 baseballs and 8 baseball batsThere are 8 bats and 12 balls, so the

ratio of bats to balls is 8 to 12.Divide by 4

8/12 = 2/3

Example 3: Ratios in Simplest Form

Write each ratio in simplest form.a. 4:20b. 50:45c. 39/3

Example 3 answers:a. 1:5b. 10 to 9c. 13/1

Sign on the Dotted LineAutographs from famous people are sometimes worth big money. Stephen King’s autograph is worth $60. Nomar Garciaparra’s autograph is worth $35. Denzel Washington’s autograph is worth $25, and Albert Einstein’s autograph is worth $900.Button Gwinnett signed the Declaration of Independence, and his autograph recently sold for $85,000