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### Course: Pre-algebra>Unit 4

Lesson 3: Equivalent representations of percent problems

# Converting percents and fractions review

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 $15\mathrm{%}$ as a fraction.
Want to learn more about writing percents as fractions? Check out this video.

### Practice

Problem 1A
Convert $65\mathrm{%}$ 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 $\frac{4}{5}$ as a percent.
The key here is to turn $\frac{4}{5}$ to a fraction with a denominator of $100$. To do this, we need to know what times $5$ gives us $100$:
$5×20=100$
Now we're ready to convert $\frac{4}{5}$ to a percent:
$\frac{4}{5}=\frac{4×20}{5×20}=\frac{80}{100}$

### Practice

Problem 2A
Convert $\frac{1}{10}$ to a percent.
$\mathrm{%}$

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

## Want to join the conversation?

• 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.
• not a question but hi everyone
• hi there
(1 vote)
• 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
• Who here just scrolls through articles without reading them?