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8.1 – Ratios & Proportions. Writing Ratios. The Blues have won 24 games and lost 20 games. What is the ratio of losses to wins? 20/24 Always simplify ratios 5/6. Rewriting Fractions so that numerator and denominator have same units. Example: 3 lb/ 6 ounces 16 oz = 1 lb Convert 3 lb to oz
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Writing Ratios • The Blues have won 24 games and lost 20 games. What is the ratio of losses to wins? • 20/24 • Always simplify ratios • 5/6
Rewriting Fractions so that numerator and denominator have same units • Example: 3 lb/ 6 ounces • 16 oz = 1 lb • Convert 3 lb to oz • 3 lb = 48 oz • 48 oz / 6 oz Simplify • 8 oz/ 1 oz • Conversion Rates are in your Agenda
Solving proportions • Solve for x • Cross multiply! • 4x = 35 • X = 8.75
Example • The angles of a triangle are in the ratio of 1:2:3. What are the angles • 1x + 2x + 3x = 180 • 6x = 180 • X = 30 • Angles are 30, 60, and 90
Assignment • p. 461-463 18-44all, 51-53