1. Home
  2. Fundamentals of mathematics
  3. Ratios and rates
  4. Fractions of one percent

7.5 Fractions of one percent

<< Chapter < Page
  Fundamentals of mathematics   Page 1 / 1
Chapter >> Page >
This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module discusses fractions of one percent. By the end of the module students should understand the meaning of a fraction of one percent and be able to make conversions involving fractions of one percent.

Section overview

  • Conversions Involving Fractions of One Percent
  • Conversions Involving Nonterminating Fractions

Conversions involving fractions of one percent

Percents such as 1 2 size 12{ { {1} over {2} } } {} %, 3 5 size 12{ { {3} over {5} } } {} %, 5 8 size 12{ { {5} over {8} } } {} %, and 7 11 size 12{ { {7} over {"11"} } } {} %, where 1% has not been attained, are fractions of 1%. This implies that

1 2 % = 1 2   of 1% size 12{ { {1} over {2} } %= { {1} over {2} } `"of 1%"} {}

3 5 % = 3 5   of 1% size 12{ { {3} over {5} } %= { {3} over {5} } `"of 1%"} {}

5 8 % = 5 8   of 1% size 12{ { {5} over {8} } %= { {5} over {8} } `"of 1%"} {}

7 11 % = 7 11   of 1% size 12{ { {7} over {"11"} } %= { {7} over {"11"} } `"of 1%"} {}

Since "percent" means "for each hundred," and "of" means "times," we have

1 2 % = 1 2 of 1% = 1 2 ⋅ 1 100 = 1 200 size 12{ { {1} over {2} } %= { {1} over {2} } `"of 1%"= { {1} over {2} } cdot { {1} over {"100"} } = { {1} over {"200"} } } {}

3 5 % = 3 5 of 1% = 3 5 ⋅ 1 100 = 3 500 size 12{ { {3} over {5} } %= { {3} over {5} } `"of 1%"= { {3} over {5} } cdot { {1} over {"100"} } = { {3} over {"500"} } } {}

5 8 % = 5 8 of 1% = 5 8 ⋅ 1 100 = 5 800 size 12{ { {5} over {8} } %= { {5} over {8} } `"of 1%"= { {5} over {8} } cdot { {1} over {"100"} } = { {5} over {"800"} } } {}

7 11 % = 7 11 of 1% = 7 11 ⋅ 1 100 = 7 1100 size 12{ { {7} over {"11"} } %= { {7} over {"11"} } `"of 1%"= { {7} over {"11"} } cdot { {1} over {"100"} } = { {7} over {"1100"} } } {}

Sample set a

Convert 2 3 size 12{ { {2} over {3} } } {} % to a fraction.

2 3 % = 2 3 of 1 % = 2 1 3 ⋅ 1 100 50 = 1 ⋅ 1 3 ⋅ 50 = 1 150

Got questions? Get instant answers now!

Convert 5 8 size 12{ { {5} over {8} } } {} % to a decimal.

5 8 % = 5 8 of 1 % = 5 8 ⋅ 1 100 = 0.625 ⋅ 0.01 = 0.00625

Got questions? Get instant answers now!

Practice set a

Convert 1 4 size 12{ { {1} over {4} } } {} % to a fraction.

1 400 size 12{ { {1} over {"400"} } } {}

Got questions? Get instant answers now!

Convert 3 8 size 12{ { {3} over {8} } } {} % to a fraction.

3 800 size 12{ { {3} over {"800"} } } {}

Got questions? Get instant answers now!

Convert 3 1 3 size 12{3 { {1} over {3} } } {} % to a fraction.

1 30 size 12{ { {1} over {"30"} } } {}

Got questions? Get instant answers now!

Conversions involving nonterminating fractions

We must be careful when changing a fraction of 1% to a decimal. The number 2 3 size 12{ { {2} over {3} } } {} , as we know, has a nonterminating decimal representation. Therefore, it cannot be expressed exactly as a decimal.

When converting nonterminating fractions of 1% to decimals, it is customary to express the fraction as a rounded decimal with at least three decimal places.

Converting a nonterminating fraction to a decimal

To convert a nonterminating fraction of 1% to a decimal:
  1. Convert the fraction as a rounded decimal.
  2. Move the decimal point two digits to the left and remove the percent sign.

Sample set b

Convert 2 3 size 12{ { {2} over {3} } } {} % to a three-place decimal.

  1. Convert 2 3 size 12{ { {2} over {3} } } {} to a decimal.

    Since we wish the resulting decimal to have three decimal digits, and removing the percent sign will account for two of them, we need to round 2 3 size 12{ { {2} over {3} } } {} to one place ( 2 + 1 = 3 ) size 12{ \( "2 "+" 1 "=" 3" \) } {} .

    2 3 % = 0 . 7 size 12{ { {2} over {3} } %=0 "." 7%} {} % to one decimal place. 2 3 = 0 . 6666 … size 12{ left ( { {2} over {3} } =0 "." "6666" dotslow right )} {}

  2. Move the decimal point two digits to the left and remove the % sign. We'll need to add zeros to locate the decimal point in the correct location.

    2 3 % = 0 . 007 size 12{ { {2} over {3} } "% "=" 0" "." "007"} {} to 3 decimal places

Got questions? Get instant answers now!

Convert 5 4 11 size 12{5 { {4} over {"11"} } } {} % to a four-place decimal.

  1. Since we wish the resulting decimal to have four decimal places, and removing the percent sign will account for two, we to round 4 11 size 12{ { {4} over {"11"} } } {} to two places.

    5 4 11 % = 5 . 36 size 12{5 { {4} over {"11"} } %=5 "." "36"%} {} % to two decimal places. 4 11 = 0 . 3636 … size 12{ left ( { {4} over {"11"} } =0 "." "3636" dotslow right )} {}

  2. Move the decimal point two places to the left and drop the percent sign.

    5 4 11 % = 0 . 0536 size 12{5 { {4} over {"11"} } %=5 "." "36"%} {} to four decimal places.

Got questions? Get instant answers now!

Convert 28 5 9 size 12{"28" { {5} over {9} } } {} % to a decimal rounded to ten thousandths.

  1. Since we wish the resulting decimal to be rounded to ten thousandths (four decimal places), and removing the percent sign will account for two, we need to round 5 9 size 12{ { {5} over {9} } } {} to two places.

    28 5 9 % = 28 . 56% size 12{"28" { {5} over {9} } %="28" "." "56"%} {} to two decimal places. 5 9 = 0 . 5555 … size 12{ left ( { {5} over {9} } =0 "." "5555" dotslow right )} {}

  2. Move the decimal point to the left two places and drop the percent sign.

    28 5 9 % = 0 . 2856 size 12{"28" { {5} over {9} } %=0 "." "2856"} {} correct to ten thousandths.

Got questions? Get instant answers now!

Practice set b

Convert 7 9 size 12{ { {7} over {9} } } {} % to a three-place decimal.

0.008

Got questions? Get instant answers now!

Convert 51 5 11 % to a decimal rounded to ten thousandths.

0.5145

Got questions? Get instant answers now!

Exercises

Make the conversions as indi­cated.

Convert 3 4 size 12{ { {3} over {4} } } {} % to a fraction.

3 400 size 12{ { {3} over {"400"} } } {}

Got questions? Get instant answers now!

Convert 5 6 size 12{ { {5} over {6} } } {} % to a fraction.

Got questions? Get instant answers now!

Convert 1 9 size 12{ { {1} over {9} } } {} % to a fraction.

1 900 size 12{ { {1} over {"900"} } } {}

Got questions? Get instant answers now!

Convert 15 19 size 12{ { {"15"} over {"19"} } } {} % to a fraction.

Got questions? Get instant answers now!

Convert 5 4 size 12{ { {5} over {4} } } {} % to a fraction.

5 400 or 1 80 size 12{ { {5} over {"400"} } " or " { {1} over {"80"} } } {}

Got questions? Get instant answers now!

Convert 7 3 size 12{ { {7} over {3} } } {} % to a fraction.

Got questions? Get instant answers now!

Convert 1 6 7 size 12{1 { {6} over {7} } } {} % to a fraction.

13 700 size 12{ { {"13"} over {"700"} } } {}

Got questions? Get instant answers now!

Convert 2 5 16 size 12{2 { {5} over {"16"} } } {} % to a fraction.

Got questions? Get instant answers now!

Convert 25 1 4 size 12{"25" { {1} over {4} } } {} % to a fraction.

101 400 size 12{ { {"101"} over {"400"} } } {}

Got questions? Get instant answers now!

Convert 50 1 2 size 12{"50" { {1} over {2} } } {} % to a fraction.

Got questions? Get instant answers now!

Convert 72 3 5 size 12{"72" { {3} over {5} } } {} % to a fraction.

363 500 size 12{ { {"363"} over {"500"} } } {}

Got questions? Get instant answers now!

Convert 99 1 8 size 12{"99" { {1} over {8} } } {} % to a fraction.

Got questions? Get instant answers now!

Convert 136 2 3 size 12{"136" { {2} over {3} } } {} % to a fraction.

41 30 size 12{ { {"41"} over {"30"} } } {}

Got questions? Get instant answers now!

Convert 521 3 4 size 12{"521" { {3} over {4} } } {} % to a fraction.

Got questions? Get instant answers now!

Convert 10 1 5 size 12{"10" { {1} over {5} } } {} % to a decimal.

51 500 = 0 . 102 size 12{ { {"51"} over {"500"} } =0 "." "102"} {}

Got questions? Get instant answers now!

Convert 12 3 4 size 12{"12" { {3} over {4} } } {} % to a decimal.

Got questions? Get instant answers now!

Convert 3 7 8 size 12{3 { {7} over {8} } } {} % to a decimal.

31 800 = 0 . 03875 size 12{ { {"31"} over {"800"} } =0 "." "03875"} {}

Got questions? Get instant answers now!

Convert 7 1 16 size 12{7 { {1} over {"16"} } } {} % to a decimal.

Got questions? Get instant answers now!

Convert 3 7 size 12{ { {3} over {7} } } {} % to a three-place decimal.

0 . 004 size 12{0 "." "004"} {}

Got questions? Get instant answers now!

Convert 1 9 size 12{ { {1} over {9} } } {} % to a three-place decimal.

Got questions? Get instant answers now!

Convert 6 3 11 size 12{6 { {3} over {"11"} } } {} % to a four-place decimal.

0.0627

Got questions? Get instant answers now!

Convert 9 2 7 size 12{9 { {2} over {7} } } {} % to a four-place decimal.

Got questions? Get instant answers now!

Convert 24 5 21 size 12{"24" { {5} over {"21"} } } {} % to a three-place decimal.

0.242

Got questions? Get instant answers now!

Convert 45 8 27 size 12{"45" { {8} over {"27"} } } {} % to a three-place decimal.

Got questions? Get instant answers now!

Convert 11 16 17 size 12{"11" { {"16"} over {"17"} } } {} % to a four-place decimal.

0.1194

Got questions? Get instant answers now!

Convert 5 1 7 size 12{5 { {1} over {7} } } {} % to a three-place decimal.

Got questions? Get instant answers now!

Exercises for review

( [link] ) Write 8 ⋅ 8 ⋅ 8 ⋅ 8 ⋅ 8 size 12{"8 " cdot " 8 " cdot " 8 " cdot " 8 " cdot " 8"} {} using exponents.

8 5 size 12{8 rSup { size 8{5} } } {}

Got questions? Get instant answers now!

( [link] ) Convert 4 7 8 size 12{4 { {7} over {8} } } {} to an improper fraction.

Got questions? Get instant answers now!

( [link] ) Find the sum. 7 10 + 2 21 + 1 7 size 12{ { {7} over {"10"} } + { {2} over {"21"} } + { {1} over {7} } } {} .

197 210 size 12{ { {"197"} over {"210"} } } {}

Got questions? Get instant answers now!

( [link] ) Find the product. ( 4 . 21 ) ( 0 . 006 ) size 12{ \( 4 "." "21" \) \( 0 "." "006" \) } {} .

Got questions? Get instant answers now!

( [link] ) Convert 8.062 to a percent.

806 . 2 size 12{"806" "." 2%} {} %

Got questions? Get instant answers now!

Questions & Answers

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
What are the treatment for autism?
Magret Reply
hello. autism is a umbrella term. autistic kids have different disorder overlapping. for example. a kid may show symptoms of ADHD and also learning disabilities. before treatment please make sure the kid doesn't have physical disabilities like hearing..vision..speech problem. sometimes these
Jharna
continue.. sometimes due to these physical problems..the diagnosis may be misdiagnosed. treatment for autism. well it depends on the severity. since autistic kids have problems in communicating and adopting to the environment.. it's best to expose the child in situations where the child
Jharna
child interact with other kids under doc supervision. play therapy. speech therapy. Engaging in different activities that activate most parts of the brain.. like drawing..painting. matching color board game. string and beads game. the more you interact with the child the more effective
Jharna
results you'll get.. please consult a therapist to know what suits best on your child. and last as a parent. I know sometimes it's overwhelming to guide a special kid. but trust the process and be strong and patient as a parent.
Jharna
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply
<< Chapter < Page Page > Chapter >>

Read also:

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Fundamentals of mathematics' conversation and receive update notifications?

Ask