Lesson 5-1: Using Proportions

Lesson 5-1: Using Proportions Ratio A ratio is a comparison of two numbers such as a : b. Ratio: When writing a ratio, always express it in simplest form. Example: A B C D 3.6 6 8 4.8 10 Now try to reduce the fraction. Type notes here Lesson 5-1: Using Proportions

Lesson 5-1: Using Proportions Example………. A baseball player goes to bat 348 times and gets 107 hits. What is the players batting average? Solution: Set up a ratio that compares the number of hits to the number of times he goes to bat. Ratio: Convert this fraction to a decimal rounded to three decimal places. Decimal: Type notes here The baseball player’s batting average is 0.307 which means he is getting approxiamately one hit every three times at bat. Lesson 5-1: Using Proportions

Lesson 5-1: Using Proportions Proportion: An equation that states that two ratios are equal. Terms First Term Third Term Second Term Fourth Term To solve a proportion, cross multiply the proportion: Type notes here Extremes: a and d Means : b and c Lesson 5-1: Using Proportions

Proportions- examples…. 84 yards 2 ft x 356 yards Find the value of x. Example 2: Solve the proportion. 8x = 30 Type notes here 8 • x = 6 • 5 x = 3.75 8x = 30 8 8 Lesson 5-1: Using Proportions