18.3 Fractions to Decimals to Percents

18.3 Fractions to Decimals to Percents Common Core Standards 7.RP.3. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

WARM-UP Convert the fractions to decimals.

1 1) 2

1 2) 4

Convert the decimals to percents. 3)

.5

4) .25

Convert the fractions to percents. 5) 1

6) 1

2

4

Fractions to Decimals to Percents If fractions can be converted to decimals and decimals converted to a percents, can you use that to convert fractions to percents?

1 = .25 = 25% 4

NOTES We can convert a fraction directly to a percent (as we've learned) or we can convert it first to a decimal and then move the decimal point two times to the right. Examples Convert the fraction to a decimal and then to a percent.

2 5

1 8

3 4

NOTES Division is the best way to turn repeating decimals into percents. Examples Convert the fraction to a decimal and round the answer to the nearest whole percent.

1 3

2 9

NOTES The numerator always goes inside. Examples Convert the fraction to a decimal and then to a percent.

9 5

16 9

NOTES Simplifying the fraction first can make dividing easier. Examples Convert the fraction to a decimal and then to a percent.

9 24

20 24

PRACTICE Convert the fraction to a decimal and then a percent.

7 8

7 4

Convert the fraction to a decimal and then round to the nearest whole percent.

2 11

20 30

FINAL QUESTION Sally got 7 out of 9 correct on her English quiz. Approximately what percent did she get correct?