# Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 : 9 4 9.

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Ratio, Rate, Proportion, and Percent

Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 : 9 4 9

Rate  A ratio that compares two quantities measured in different units. 120 miles 3 hours

Unit Rate  A rate with a denominator of 1. If 120 miles, then the unit rate is 40 Miles 3 Hours 1 Hour  When you want to find unit rate you divide

Proportion  Two equal ratios. 2 = 4 3 6

Solving Proportions  Cross Multiply then Divide 7 = 14 4 n  14 4 = 56  56 ÷ 7 = 8  N = 8

Are these True Proportions?  8 = 12 12 8  Check the cross products  8 8 = 64  12 12 = 144  64 does not equal 144, therefore the proportions are not equal

Is the proportion true?  2 = 5 10 25  Check the cross products  10 5 = 50  2 25 = 50  The proportion is true!

Percent  A ratio that compares a number to 100. 50 is 50% 100

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