<< Chapter < Page Chapter >> Page >
The figures shows two columns and five rows . The  first row is a header row and it labels each column “Percent” and “Decimal”. Under the “Percent” column are the values: 6%, 78%, 135%, 12.5%. Under the “Decimal” column are the values: 0.06, 0.78, 1.35, 0.125. There are two jumps for each percent to show how to convert it to a decimal.

Among a group of business leaders, 77% believe that poor math and science education in the U.S. will lead to higher unemployment rates.

Convert the percent to: a fraction a decimal

Solution

77%
Write as a ratio with denominator 100. 77 100
77 100
Change the fraction to a decimal by dividing the numerator by the denominator. 0.77
Got questions? Get instant answers now!
Got questions? Get instant answers now!

Convert the percent to: a fraction and a decimal

Twitter's share of web traffic jumped 24% when one celebrity tweeted live on air.

  1. 6 25
  2. 0.24

Got questions? Get instant answers now!

Convert the percent to: ⓐ a fraction andⓑ a decimal

The U.S. Census estimated that in 2013 , 44% of the population of Boston age 25 or older have a bachelor's or higher degrees.

  1. 22 50
  2. 0.44

Got questions? Get instant answers now!

There are four suits of cards in a deck of cards—hearts, diamonds, clubs, and spades. The probability of randomly choosing a heart from a shuffled deck of cards is 25% . Convert the percent to:

  1. ⓐ a fraction
  2. ⓑ a decimal

The figure shows someone holding a deck of cards.
(credit: Riles32807, Wikimedia Commons)

Solution

25%
Write as a ratio with denominator 100. 25 100
Simplify. 1 4
1 4
Change the fraction to a decimal by dividing the numerator by the denominator. 0.25
Got questions? Get instant answers now!
Got questions? Get instant answers now!

Convert the percent to: a fraction, and a decimal

The probability that it will rain Monday is 30% .

  1. 3 10
  2. 0.3

Got questions? Get instant answers now!

Convert the percent to: a fraction, and a decimal

The probability of getting heads three times when tossing a coin three times is 12.5% .

  1. 12.5 100
  2. 0.125

Got questions? Get instant answers now!

Convert decimals and fractions to percents

To convert a decimal to a percent    , remember that percent means per hundred. If we change the decimal to a fraction whose denominator is 100 , it is easy to change that fraction to a percent.

Convert a decimal to a percent.

  1. Write the decimal as a fraction.
  2. If the denominator of the fraction is not 100 , rewrite it as an equivalent fraction with denominator 100 .
  3. Write this ratio as a percent.

Convert each decimal to a percent: 0.05 0.83

Solution

0.05
Write as a fraction. The denominator is 100. 5 100
Write this ratio as a percent. 5%
0.83
The denominator is 100. 83 100
Write this ratio as a percent. 83%
Got questions? Get instant answers now!
Got questions? Get instant answers now!

Convert each decimal to a percent: 0.01 0.17 .

  1. 1%
  2. 17%

Got questions? Get instant answers now!

Convert each decimal to a percent: 0.04 0.41

  1. 4%
  2. 41%

Got questions? Get instant answers now!

To convert a mixed number to a percent, we first write it as an improper fraction.

Convert each decimal to a percent: 1.05 0.075

Solution

0.05
Write as a fraction. 1 5 100
Write as an improper fraction. The denominator is 100. 105 100
Write this ratio as a percent. 105%

Notice that since 1.05 > 1 , the result is more than 100%.

0.075
Write as a fraction. The denominator is 1,000. 75 1,000
Divide the numerator and denominator by 10, so that the denominator is 100. 7.5 100
Write this ratio as a percent. 7.5%
Got questions? Get instant answers now!
Got questions? Get instant answers now!

Convert each decimal to a percent: 1.75 0.0825

  1. 175%
  2. 8.25%

Got questions? Get instant answers now!

Convert each decimal to a percent: 2.25 0.0925

  1. 225%
  2. 9.25%

Got questions? Get instant answers now!

Let's summarize the results from the previous examples in [link] so we can look for a pattern.

Decimal Percent
0.05 5%
0.83 83%
1.05 105%
0.075 7.5%

Do you see the pattern? To convert a decimal to a percent, we move the decimal point two places to the right and then add the percent sign.

[link] uses the decimal numbers in [link] and shows visually to convert them to percents by moving the decimal point two places to the right and then writing the % sign.

Questions & Answers

I'm interested in biological psychology and cognitive psychology
Tanya Reply
what does preconceived mean
sammie Reply
physiological Psychology
Nwosu Reply
How can I develope my cognitive domain
Amanyire Reply
why is communication effective
Dakolo Reply
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
Wekolamo Reply
please i need answer
Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
Manix Reply
Agreed 👍 There are many parts of our brains and behaviors, we really need to get to know. Blessings for everyone and happy Sunday!
ARC
A child is a member of community not society elucidate ?
JESSY Reply
Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
Simon Reply
compare and contrast skinner's perspective on personality development on freud
namakula Reply
Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
explain how nature and nurture affect the development and later the productivity of an individual.
Amesalu Reply
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
Zyryn Reply
good👍
Jonathan
and having a good philosophy of the world is like a sandwich and a peanut butter 👍
Jonathan
generally amnesi how long yrs memory loss
Kelu Reply
interpersonal relationships
Abdulfatai Reply
What would be the best educational aid(s) for gifted kids/savants?
Heidi Reply
treat them normal, if they want help then give them. that will make everyone happy
Saurabh
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply
Practice Key Terms 1

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Prealgebra' conversation and receive update notifications?

Ask