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Writing Ratios in Different Forms

7. Fraction: . 100. EXAMPLE 1. Writing Ratios in Different Forms. In the diagram above, 7 out of the 100 marbles are red. Write this ratio as a percent, a decimal, and a fraction. Percent: 7%. Decimal: 0.07. 9. 32.5. c. a. 100. 100. 300. 3, or. d. b. 0 . 39. 100. SOLUTION.

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Writing Ratios in Different Forms

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  1. 7 Fraction: 100 EXAMPLE 1 Writing Ratios in Different Forms In the diagram above, 7 out of the 100 marbles are red. Write this ratio as a percent, a decimal, and a fraction. Percent:7% Decimal:0.07

  2. 9 32.5 c. a. 100 100 300 3,or d. b. 0.39 100 SOLUTION a. nine hundredths, or 9% EXAMPLE 2 Writing Percents Write the number in words, and as a percent. b. thirty-nine hundredths, or 39% c. thirty-two and five tenths hundredths, or 32.5% d. three hundred hundredths, or 300%

  3. for Examples 1 and 2 GUIDED PRACTICE Write the ratio as a percent, a decimal, and a fraction, or write the number in words and as a percent. 2.0.03 1.29 to 100 ANSWER ANSWER Percent: 29% three hundredths Percent: Decimal: 3% 0.29 29 Fraction: 100

  4. for Examples 1 and 2 GUIDED PRACTICE Write the ratio as a percent, a decimal, and a fraction, or write the number in words and as a percent. 5 3.0.325 4. 1 ANSWER ANSWER three hundred twenty-five thousandths five hundred hundredths 500% Percent: Percent: 32.5%

  5. 4 80 80% 64.5% = 64.5 100 = 0.645 = = 5 100 EXAMPLE 3 Writing Percents in Different Forms a. Write 64.5% as a decimal. b. Write 80% as a fraction.

  6. EXAMPLE 4 Circle Graphs with Percents Survey In a survey, 100 dog owners were asked where their dogs sleep. The results are shown as percents. a. What percent of the people responded “Other”? b. What percent of the people did not respond “Dog bed”?

  7. EXAMPLE 4 Circle Graphs with Percents SOLUTION a. The circle graph represents 100%. The sum of the percents shown is 42% + 30% + 18% = 90%, so the “Other” part is 100% − 90% = 10%. b. The percent of people who did not respond “Dog bed” is 100% − 18% = 82%.

  8. for Examples 3 and 4 GUIDED PRACTICE Write the percent as a decimal and a fraction. 5.5% 6.75% ANSWER ANSWER Decimal 0.75 = Decimal = 0.05 3 1 Fraction Fraction 4 20

  9. for Examples 3 and 4 GUIDED PRACTICE Write the percent as a decimal and a fraction. 7.20% 8.3.5% ANSWER ANSWER 0.035 Decimal Decimal 0.20 7 1 Fraction Fraction 200 5

  10. ANSWER 94% for Examples 3 and 4 GUIDED PRACTICE 9. What If? If “Dog crate” is added to the circle graph at 4% and “Other” is reduced to 6%, what percent of the people did not respond “Other”?

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