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5.1 Ratio and Proportion Learning Objectives: 1. Write ratios as fractions. 2. Write rates as fractions and find unit rates. 3. Determine whether proportions are true. 4. Find an unknown number in a proportion. 5. Solve problems by writing proportions. 6. Key Vocabulary: ratio, rate, unit rate, proportion, cross product. A. Ratios Ratio—is the quotient of two quantities. Three ways to write a ratio: a 1. a to b 2. b 3. a : b Example 1. Write the ratio as a fraction in simplest form: 6.6 miles to 10 miles B. Writing Rates as Fractions Rates are used to compare different kinds of quantities. Example 2. Write the rate as a fraction in simplest form: 6 tests for 30 students C. Proportions Proportion—is a statement that two ratios or rates are equal. Using Cross Products Rule to Determine Whether Proportions Are True or False Example 3. Determine whether the proportion 3 4 = is true or false. 6 8 D. Finding Unknown Numbers in Proportions Example 4. Solve the proportion. 1 n = 1 19 9 2 E. Applications Example 5. Use proportion to solve the following application. The ratio of students to faculty is 25 to 2. How many faculty members will be needed for a student population of 625?