Using Proportions Lesson 5 1 A ratio is
- Slides: 8
Using Proportions Lesson 5 -1
A ratio is a comparison of two numbers such as 4: 5. When writing a ratio, always express it in simplest form. A What is the ratio of segment AB to segment CB? AB = 10 CB 6 Now try to reduce the fraction. Once reduced this is the ratio between the two sides. 8 10 10 = 5 6 3 D 4. 8 C Therefore, the ratio of segment AB to segment CB is 5: 3. 6 6 B
A baseball player goes to bat 348 times and gets 107 hits. What is the player’s batting average? To find a baseball player’s batting average a ratio is first set up. The ratio compares the number of hits to the number of times he goes to bat. In this problem, the ratio would be 107 to 348 or in fraction form 107/ 348. Now convert this fraction to a decimal by dividing the denominator into the numerator and then rounding to three decimal places. Ratio: Decimal: 107 348 107 / 348 = 0. 307 The baseball player’s batting average is 0. 307 which means roughly he is getting one hit every three times at bat.
Proportion: an equation that states that two ratios are equal. a b = c d Ratio Proportion
Solving a proportion: There are two common ways to describe the method: • Cross-multiply • Use cross-products a c = b d cross products a • d= b • c ad = bc Now solve the resulting equation.
Solving a proportion: Example x 5 = 6 8 8 • x= 6 • 5 8 x = 30 8 8 x = 3. 75
Proportions The sides of these two triangles are proportional, Because all 3 ratios of corresponding sides are Not drawn to scale! equal. X 2 F e e t 356 yards 84 yards How tall is the cactus? (Note the different units. )
Review Terms: Ratio Proportion Cross product Cross-multiply 1. A ratio is ___________________. In the example above ______ and ______ are ratios. 2. A proportion is _____________________ 3. To solve the above equation, take the _____________ or ___________.
