Percent to Fraction
Convert a percentage to a fraction.
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Example
25% = 1/4
How it works
A percent literally means “per 100,” so a percentage is just a number written out of 100. To turn p% into a fraction, place p over 100 and then simplify if possible. For example, 60% becomes 60/100, which simplifies to 3/5 because both numbers can be divided by 20.
When to use it
Use this when converting percentages into fractions for calculations in maths, science, or everyday life, such as finding part of a quantity or comparing proportions. It is especially useful when a fraction is easier to work with than a percent.
Worked example, step by step
Convert 45% to a fraction: 45% = 45/100 Simplify by dividing top and bottom by 5: 45/100 = 9/20 Final answer: 45% = 9/20
Common mistakes to avoid
- Writing the percent as p/10 instead of p/100
- Forgetting to simplify the fraction after converting
- Dropping the percent sign without changing the value into parts per 100
Did You Know?
Percent literally means "out of a hundred", so every percentage is just a fraction with a hidden denominator of 100.
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