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Ratios & Unit Rates 6.1-6.2 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 pretzels 1. 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 MIX Makes 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 answers a. b. c. d. 4 to 4 to 2 to 2 to 2, 4:2, 4/2 6, 4:6, 4/6 4, 2:4, 2/4 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 4:6 DIVIDE BY 2 x3 x3 2:3 12:18 Write two different ratios equal to each ratio. a. 10/35 b. 12:3 c. 8 to 22 Answers a. 2/7, 20/70 b. 4:1, 8:2 c. 4 to 11, 16 to 44 Ratios in Simplest Form 12 baseballs and 8 baseball bats There 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. 4:20 b. 50:45 c. 39/3 Example 3 answers: a. 1:5 b. 10 to 9 c. 13/1 Sign on the Dotted Line Autographs 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