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Learn how to convert decimals to percents by multiplying by 100 and fractions to percents by dividing and multiplying by 100. Also, convert percents to fractions and decimals effortlessly. Practice with engaging examples and solutions.
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Section 9.7 Fractions, Decimals, and Percents
Changing a decimal to a percent • To change a ________ to a________, multiply by ____ (move the decimal _____ ___ places) and write ___ decimal percent 100 right 2 % Ex 1) .36 Solution: .36 * 100 = 36 , so the solution is 36 % Ex 2) .004 Solution: .004 * 100 = 0.4 , so the solution is 0.4 % Ex 3) 4) 5) 6) 7) 8) .14 1.36 .009 .089 .33 .919 14% 136% 0.9% 8.9% 33% 91.9%
Changing a fraction to a percent • To change a _______ to a_______, divide the ___ number by the _______ number, then multiply by ____ and write ___ fraction percent bottom top 100 % Ex 9) Solution: 3 ÷ 5 = .6 .6 * 100 = 60 , so the solution is 60 % Ex 10) Solution: 7 ÷ 4 = 1.75 1.75 * 100 = 175 so the solution is 175 % Ex 11) 12) 13) 14) 15) 16) 50% 25% 875% 200%
Changing a percent to a fraction • To change a _______ to a_______, write the ______ over _______ and simplify. percent fraction percent 100 Ex 17) 15% Solution: = Ex 18) 18 1/2% Solution: = = = Ex 19) 20) 21) 22) 23) 24) 23% 36% 14.3% 30%
Changing a percent to a decimal • To change a _______ to a_______, divide by ___ (move the decimal _____ ___ places) and remove the ___. percent decimal 100 left 2 % Ex 25) 15% Solution: 15% = .15 Ex 26) 183% Solution: 183% = 1.83 Ex 27) 28) 29) 30) 31) 32) 5% 462% 82.5% 18.35% .4 .05 4.62 .019 .825 .1835
Assignment • WS 9.7
