this website get really confusing sometimes

I know it really does but you just need to get to use it

Can you have a decimal point for the dominator?

Yes, it's possible to have a decimal in the denominator, but a fraction like this isn't fully simplified. To simplify, we move the decimal point the same number of places to the right in numerator and denominator to get rid of the decimals, then we reduce as usual from there. For example, 2.4/0.18 is equivalent to 240/18, which then reduces to the improper fraction 40/3 or the mixed number 13 and 1/3.

i'm having hard time with this.

Hi Nina! This is quite simple once you understand it. So basically lets say the percentage is 30% Converting it to decimals would be 0.30, or 0.3 if you simplify it because as you should know the second digit wafter the decimal point is the hundreths place. For fractions it would be 30/100, or 3/10 simplified because 30% of 100 would be 30 parts of 100! Hope this helps! You can always comment any more questions you have!

Why didn't 175% not need a decimal before the 7 and after the 1.

7/4 is the same as 175/100 (4x25 = 100) & (7x25 = 175). As we know *per cent* means *per hundred*. Since we converted 7/4 to hundredths, we simply need to remove the /100 and add the percent sign (%). If you were to write it with the decimal point like this 1.75%, and then convert back to a fraction, the fraction would be 7/400.

in the second practice how can you convert a mixed number to a percent

You change the mixed number into an improper fraction. Then, multiply by 100 5 1/4 = 21/4 21/4 * 100/1 = 2100/4 = 525% Hope this helps.

Main content

6th grade

Course: 6th grade > Unit 3

Lesson 4: Equivalent representations of percent problems

Converting percents and fractions review

Google Classroom

Review writing percents as fractions and fractions as percents. Then, try some practice problems.

Writing percents as fractions

Percent means 'per hundred.' So, we can replace a percent sign with 'per hundred.'

Example

Let's write 15, percent as a fraction.

15, percent, equals, 15, start text, space, p, e, r, space, h, u, n, d, r, e, d, end text, equals, start fraction, 15, divided by, 100, end fraction

[Can we simplify?]

Want to learn more about writing percents as fractions? Check out this video.

Practice

Problem 1A

Current

Convert 65, percent to a fraction in simplest form.

Want to try more problems like this? Check out this exercise.

Writing fractions as percents

Percent means 'per hundred.' So, we want to create an equivalent fraction with 100 as the denominator.

Example

Let's write start fraction, 4, divided by, 5, end fraction as a percent.

The key here is to turn start fraction, 4, divided by, 5, end fraction to a fraction with a denominator of 100. To do this, we need to know what times 5 gives us 100:

5, times, start color #11accd, 20, end color #11accd, equals, 100

Now we're ready to convert start fraction, 4, divided by, 5, end fraction to a percent:

start fraction, 4, divided by, 5, end fraction, equals, start fraction, 4, times, start color #11accd, 20, end color #11accd, divided by, 5, times, start color #11accd, 20, end color #11accd, end fraction, equals, start fraction, 80, divided by, 100, end fraction

start fraction, 80, divided by, 100, end fraction, equals, 80, start text, space, p, e, r, space, h, u, n, d, r, e, d, end text, equals, 80, percent

Practice

Problem 2A

Current

Convert start fraction, 1, divided by, 10, end fraction to a percent.

percent

Want to try more problems like this? Check out this exercise.

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Reed, Christopher
Posted 3 years ago. Direct link to Reed, Christopher's post “this website get really c...”
this website get really confusing sometimes
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- micheal.thomas
  Posted 10 months ago. Direct link to micheal.thomas's post “I know it really does but...”
  I know it really does but you just need to get to use it
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jdvalt27
Posted 4 years ago. Direct link to jdvalt27's post “Can you have a decimal po...”
Can you have a decimal point for the dominator?
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(22 votes)
Answer
- Ian Pulizzotto
  Posted 4 years ago. Direct link to Ian Pulizzotto's post “Yes, it's possible to hav...”
  Yes, it's possible to have a decimal in the denominator, but a fraction like this isn't fully simplified. To simplify, we move the decimal point the same number of places to the right in numerator and denominator to get rid of the decimals, then we reduce as usual from there.
  
  For example, 2.4/0.18 is equivalent to 240/18, which then reduces to the improper fraction 40/3 or the mixed number 13 and 1/3.
  Comment on Ian Pulizzotto's post “Yes, it's possible to hav...”
  (15 votes)
Nina Padilla
Posted 3 years ago. Direct link to Nina Padilla's post “i'm having hard time with...”
i'm having hard time with this.
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(12 votes)
Answer
- Skylar
  Posted 3 years ago. Direct link to Skylar's post “Hi Nina! This is quite si...”
  Hi Nina! This is quite simple once you understand it.
  So basically lets say the percentage is 30%
  Converting it to decimals would be 0.30, or 0.3 if you simplify it because as you should know the second digit wafter the decimal point is the hundreths place.
  For fractions it would be 30/100, or 3/10 simplified because 30% of 100 would be 30 parts of 100!
  
  Hope this helps! You can always comment any more questions you have!
  Comment on Skylar's post “Hi Nina! This is quite si...”
  (28 votes)
Sara Quinn
Posted 3 years ago. Direct link to Sara Quinn's post “Why didn't 175% not need ...”
Why didn't 175% not need a decimal before the 7 and after the 1.
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(9 votes)
Answer
- Daniel Zimmerman
  Posted 3 years ago. Direct link to Daniel Zimmerman's post “7/4 is the same as 175/10...”
  7/4 is the same as 175/100 (4x25 = 100) & (7x25 = 175). As we know per cent means per hundred. Since we converted 7/4 to hundredths, we simply need to remove the /100 and add the percent sign (%).
  
  If you were to write it with the decimal point like this 1.75%, and then convert back to a fraction, the fraction would be 7/400.
  Comment on Daniel Zimmerman's post “7/4 is the same as 175/10...”
  (22 votes)
Maya.Hitesh.Patel
Posted 6 years ago. Direct link to Maya.Hitesh.Patel's post “in the second practice ho...”
in the second practice how can you convert a mixed number to a percent
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(9 votes)
Answer
- Kim Seidel
  Posted 6 years ago. Direct link to Kim Seidel's post “You change the mixed numb...”
  You change the mixed number into an improper fraction.
  Then, multiply by 100
  5 1/4 = 21/4
  21/4 * 100/1 = 2100/4 = 525%
  Hope this helps.
  Comment on Kim Seidel's post “You change the mixed numb...”
  (10 votes)
Michael
Posted a year ago. Direct link to Michael's post “not a question but hi eve...”
not a question but hi everyone
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- Coleee 0_0
  Posted 10 months ago. Direct link to Coleee 0_0's post “hi there”
  hi there
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ishwar.bhati02
Posted 3 years ago. Direct link to ishwar.bhati02's post “to find the simplest frac...”
to find the simplest fraction you have to dive the numerator and denominator as much as you can until you cannot find a common factor
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Ellie Davis
Posted 2 years ago. Direct link to Ellie Davis's post “_Why is this is hard_”
Why is this is hard
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shwetashingote
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This was a good learning exercise
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Kaveion Freese
Posted 3 years ago. Direct link to Kaveion Freese's post “even numbers is the quick...”
even numbers is the quickest way to do the simplest form
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