Ratio- compares one number to another. 2.6 Equivalent Ratios Ratio- compares one number to another. Lowest terms- ratios are reduced to the lowest common denominator.

A ratio is the quotient (dividing) of two numbers and is used to compare one number to another. The order of the numbers in a ratio is important. Ratios can be written in three different ways: 1 to 3 1 : 3 1/3

Write the ratio in 2 other ways: 4 = 7 3 :16 = 5 to 8 =

Ratios can be reduced to lowest terms: the ratio 2 = 1 8 4 2 to 8 = 1 to 4, 2:8 = 1:4 8 ft to 5 ft The ratio is 8 to 5, 8 , 8:5 5

Equivalent Ratios To find a ratio equivalent to another ratio you must multiply by 1: 2/2, 3/3, 4/4, etc 4 × 2 = 8 9 2 18

Another way to find a ratio equivalent to another ratio is to simplify on your calculator (division). a b/c key and EXE. 20 = 2 30 3

To find if 2 ratios are equivalent to each other, you calculate the cross product. 180 180 10 = 15 12 18

Find equivalent ratios for each fraction. 4 8 5 11 18 20 36 30 15 13 27 15 Are the ratios equivalent? 2 = 6 8 = 3 7 = 6 9 23 9 4 9 7

Do Now 2:8 14:12 3:45 12:4 100:300 23:25 10:8 17:12