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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) =

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Percentages

  • 1. Fifth Grade Math Course I Ratio, Proportion, and Percent
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  • 10. 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
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