5.1_5.3 Ratios and Proportions Lesson - Kutz
 Ratio - A ratio compares two quantities by division.Ratios can be simplified just like fractions.1815÷33=56 Simplify -41065==21025188== Ratios compare like quantities - Sometimes thequantities appear different but are like. One example would be measurement.12 inches = 1 footWhen simplifying ratios involving measurementthe units must be the same.3 feet = 1 yard36 inches = 1 yard 2 yards9 feet12 inches = 1 foot3 feet = 1 yard36 inches = 1 yardExample -Simplify the ratio 2 yards to 9 feet.x       feet per yard = 6 feet9 feet÷3=3 Let's convert yards to feet. Every yard = 3 feet, so multiply 4 yards x 3 feet per yard. So 4 yards = 12 feet.36 inches = 1 yard12 inches = 1 foot3 feet = 1 yardWrite the ratio 4 yards to 15 feet in simplest form. Youhave to convert the measurements to the same unit.15 feet4 yardsx 3 ft./yd.             ft.=ft.÷33= Let's convert inches to feet. Every foot = 12 inches, so divide 36 in. by 12 in. per ft. So 36 inches = 3 feet.36 inches = 1 yard12 inches = 1 foot3 feet = 1 yardWrite the ratio 36 inches to 15 feet in simplest form.Convert the measurements to the same unit.15 feet36 in.÷ 12 in./ft.             ft.=ft.÷33= When two ratios are set equal to each other theyform a proportion. Two ratios are said to be proportional is their cross products are equal.Does 3 x 24 = 9 x 8?38=?249 1515 x45=?yes or no?186=  6 x?=? 7575 x100=?yes or no?84=  4 x?=? 77 x2=?yes or no?621=  21 x?=?
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