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

Practice

Problem 1A
Convert 65, percent to a fraction in simplest form.
  • Your answer should be
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4

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
Convert start fraction, 1, divided by, 10, end fraction to a percent.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
percent

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

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