Pre-Algebra 7-1 Ratios and Proportions Warm Up Write each fraction in lowest terms. Pre-Algebra 7-1 Ratios and Proportions 14 16 1. 9 72 3. 24 64 2. 45.

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Pre-Algebra 7-1 Ratios and Proportions Warm Up Write each fraction in lowest terms. Pre-Algebra 7-1 Ratios and Proportions

Pre-Algebra 7-1 Ratios and Proportions Learn to find equivalent ratios to create proportions.

Pre-Algebra 7-1 Ratios and Proportions Vocabulary ratio equivalent ratio proportion

Pre-Algebra 7-1 Ratios and Proportions Ratios can be written in several ways. A colon is often used. 90:3 and name the same ratio. Reading Math 90 3

Pre-Algebra 7-1 Ratios and Proportions A ratio is a comparison of two quantities by division. In one rectangle, the ratio of shaded squares to unshaded squares is 7:5. In the other rectangle, the ratio is 28:20. Both rectangles have equivalent shaded areas. Ratios that make the same comparison are equivalent ratios.

Pre-Algebra 7-1 Ratios and Proportions Example 1: Finding Equivalent Ratios Find two ratios that are equivalent to each given ratio. B A. = 9 27 = = 9 ÷ 9 27 ÷ = Two ratios equivalent to are and Two ratios equivalent to are and = = 64 ÷ 8 24 ÷ = = Multiply or divide the numerator and denominator by the same nonzero number.

Pre-Algebra 7-1 Ratios and Proportions Example 2 Find two ratios that are equivalent to each given ratio. B A. = 8 16 = = 8 ÷ 8 16 ÷ = Two ratios equivalent to are and Two ratios equivalent to are and = = 32 ÷ ÷ = = Multiply or divide the numerator and denominator by the same nonzero number.

Pre-Algebra 7-1 Ratios and Proportions Ratios that are equivalent are said to be proportional, or in proportion. Equivalent ratios are identical when they are written in simplest form.

Pre-Algebra 7-1 Ratios and Proportions Example 3: Determining Whether Two Ratios are in Proportion Simplify to tell whether the ratios form a proportion B. and A. and 2 18

Pre-Algebra 7-1 Ratios and Proportions Example 4 Simplify to tell whether the ratios form a proportion B. and A. and 9 45

Pre-Algebra 7-1 Ratios and Proportions Lesson Review Find two ratios that are equivalent to each given ratio Simplify to tell whether the ratios form a proportion Possible answer:, Possible answer:, and and 28 18