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Ratios Using Data Ratio is a comparison of two numbers, Usually written as a fraction a/b, where a and b are the numbers First number in the numerator Second number in the denominator Different ways to write a ratio: 3 to 4 3:4 ¾ 3 out of 4 All ratios should be in reduced form Finding Ratios Bag Marbles 10 blue 15 yellow 3 green 1 purple 24 pink Ratio blue to yellow 10/15 = 2/3 Ratio green to blue 3/ 10 Ratio green to yellow 3/15 = 1/5 Ratio purple to pink 1/24 Ratio blue to pink 10/24 = 5/12 Ratio purple to green 1/3 Ratio yellow to green 15/3 = 5/1 Our Classroom Ratio of Ratio of Ratio of Ratio of Ratio of girls to boys boys to girls number students to teacher girls to number of students boys to number of students Equal Ratios same as Equivalent fractions 12/15 = 4/5 24/30 = 4/5 10/16 = 5/8 24/48 = ½ 48/18 = 8/3 60/20 = 3/1 5/6 = 15/18 = 10/12 = 20/24 = 25/30 = 30/36 Write each ratio in simplest form 25/75 1/3 110/20 11/2 12 to 44 3 to11 15 : 40 3:8 Comparing Ratios You can use a decimal to express and compare ratios ¾ = .75 5 to 16 = .3125 7:8 = .875 5/16 < ¾ < 7/8