Percentages

Fifth Grade Math Course I Ratio, Proportion, and Percent

[object Object],[object Object],[object Object],[object Object],Ratios 18 12

Ratios ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],18 12 18 12 18 12 3 2 3 2 ÷ 6 ÷ 6

Ratios ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],16 14 8 7 14 16 7 8 16 30 8 15

Ratios ,[object Object],[object Object],[object Object],[object Object]

Proportions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],4 8 1 2 3 6 1 2 4 8 3 6

Proportions ,[object Object],4 8 3 6 3 2 18 12 4 x 6 = 8 x 3 (both equal 24) 3 x 12 = 2 x 18 (both equal 36) = =

Proportions ,[object Object],12 21 8 14 and 10 17 20 27 and 3 8 9 24 and

Proportions ,[object Object],[object Object]

Proportions N 12 3 4 = 4 x N = 12 x 3 4 x N = 36 4 x N 36 4 4 1 x N = 9 N = 9 = Cross multiply the proportion Divide the terms on both sides of the equal sign by the number next to the unknown letter. (4) That will leave the N on the left side and the answer (9) on the right side

Proportions ,[object Object],[object Object],2 5 N 35 = 5 x N = 2 x 35 5 x N = 70 5 x N 70 5 5 1 x N = 14 N = 14 = 15 N 3 4 = 6 7 102 N = 4 N 6 27 =

Proportions ,[object Object],[object Object],[object Object],[object Object],5 2 H 27 = height shadow = height shadow You must be careful to place the same quantities in corresponding positions in the proportion

Proportions ,[object Object],[object Object],[object Object]

Percents ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],25 100 137 100 6.5 100

Converting Percents to Fractions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],30 100 3 10 125 100 5 4 1 4

Converting Percents to Decimals ,[object Object],[object Object],[object Object],[object Object]

Converting Decimals to Fractions and Percents ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Converting Decimals to Percents ,[object Object],[object Object],[object Object]

[object Object],Converting Fractions to Percents .75 4 3.00 3 4 = = 75%

Converting Decimals and Fractions to Percents ,[object Object],[object Object],[object Object],[object Object],[object Object],1 5 7 10

Percent of a Number ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Percent of a Number ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],1 4 1 4

Percentage Problems ,[object Object],[object Object],63 75 P 100 = (P is used to represent the percent or part out of 100) 75 x P 75 6300 75 = P = 84 Percent Proportion A P B 100 A is the amount B is the base (follows the word “of”) P is the percent (written with the word “percent” or the % sign) =

Percentage Problems ,[object Object],[object Object],[object Object],[object Object],[object Object],Percent Proportion A P B 100 A is the amount B is the base (follows the word “of”) P is the percent (written with the word “percent” or the % sign) =

Percentages

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