Section 6.1: Definition of Percent and Converting Percents

Convert 28.2% to a fraction in lowest term

141/500

Convert 71 and 23% to a fraction in lowest terms.

43/60 To convert a percent to a fraction, first write the percent as a ratio with a denominator of 100 to get 71 and 2/3% 71 and 2/3 /100 Write the numerator as an improper fraction. 2153100 Rewrite this expression as fraction division. 215/3÷100/1 Recall that dividing by a fraction is the same as multiplying by its ***reciprocal***, then simplify to find 215/3⋅1/100 43/60

Convert the percent to a decimal:A club sells 40 tickets to a raffle. Issac bought one ticket. The probability that he will win the raffle is 2.5%.

0.025 To convert a percent number to a decimal number, we move the decimal point two place to the left. It follows that 2.5%=0.025. 2.5% / 100% = 0.025

Convert the percent to a decimal:A club sells 8 tickets to a raffle. Daniel bought one ticket. The probability that he will win the raffle is 12.5%.

0.125 To convert a percent number to a decimal number, we move the decimal point two place to the left. It follows that 12.5%=0.125. 12.5% / 100% = 0.125

A club sells 5 tickets to a raffle. Hector bought one ticket. The probability that he will win the raffle is 20%.

0.2 To convert a percent number to a decimal number, we move the decimal point two places to the left. It follows that 20.0%=0.2.

Convert 92.8% to a fraction in lowest terms.

116/125 To convert a percent to a fraction, first write the percent as a ratio with a denominator of 100. 92.8%92.8100 Clear the decimal by multiplying the numerator and denominator by 10, and then simplify to find 92.8(10)100(10)9281000116⋅8125⋅8116125.

Convert 242% to a decimal

2.42 To convert a percent number to a decimal number, we move the decimal point two places to the left. It follows that 242%=2.42.

A poll found that 20 out of 100 U.S. residents speak a foreign language at home. Write this ratio as a percent.

20% The amount we want to convert is 20 out of 100. 20 out of 100 Write as a ratio. 20/100 Convert the ratio to a percent. 20%

Convert 2 to a percent.

200% To convert a decimal number to a percent number we move the decimal point two places to the right and then add the percent sign. It follows that 2=200%.

Write 25/8 as a percent.(Round to 3 decimal places if necessary.)

312.5% Since a fraction bar means division, we begin by writing 25/8 as 8/25.

According to the U.S. Census Bureau, 5% of Americans age 25 or older had completed a bachelor's degree or higher in 1940. Write this percent as a ratio and do not simplify.

5/100 The amount we want to convert is 5%. 5% Write the percent as a ratio. Remember that percent means per 100. 5/100

Write 17/3 as a percent.Note: Please round to 3 decimal places.

566.667%

According to a survey in 2004, around 72% of all teens prefer to communicate via cell phone than talk face to face. Write this percent as a ratio and do not simplify.

72/100 The amount we want to convert is 72%. 72% Write the percent as a ratio. Remember that percent means per 100. 72/100

Convert 14 and 3/5% to a fraction in lowest terms. Provide your answer below:

73/500

According to a survey in 2011, 81 out of 100 students graduated high school. Write this ratio as a percent.

81% The amount we want to convert is 81 out of 100. 81 out of 100 Write as a ratio. 81/100 Convert the ratio to a percent.81%

Convert the following percent to a fraction and simplify: 64.4%.

=161/250

According to a survey, about 41% of first marriages end in divorce. Write this percent as a ratio and do not simplify.

The amount we want to convert is 41%. 41% Write the percent as a ratio. Remember that percent means per 100. ANSWER 41/100

In one community, 60 out of 100 community college students drop out. Write this ratio as a percent.

The amount we want to convert is 60 out of 100. 60 out of 100 Write as a ratio. 60/100 Convert the ratio to a percent. ANSWER 60%

Write 85/3 as a percent.(Round to 3 decimal places.)

2833.333 Since a fraction bar means division, we begin by writing 85/3 as 3/85.