Skill: Convert percents to fractions

Explanation and Free Practice Resources

Percent notation represents a quantity per hundred, so a percent can be written as a fraction with denominator 100 and then expressed in an equivalent simplified form, such as $25\%=\frac{25}{100}=\frac14$ . The understanding applies to whole-number and familiar finite decimal percents in ordinary part-to-whole contexts, emphasizing that the percent sign cannot simply be removed; generalized symbolic forms and more advanced percentage cases are outside this scope.

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Detailed Explanation: Convert percents to fractions

A percent means “per hundred.” To convert a percent to a fraction:

Write the percent number as the numerator.
Write $100$ as the denominator.
Simplify the fraction if possible.

Example: Convert $35\%$ to a fraction.

Write $35\%$ as a fraction over $100$ :

35\%=\frac{35}{100}

Now simplify $\frac{35}{100}$ . Both $35$ and $100$ are divisible by $5$ :

\frac{35\div 5}{100\div 5}=\frac{7}{20}

Therefore,

\boxed{35\%=\frac{7}{20}}

Remember: the percent sign cannot simply be removed. It tells you to use $100$ as the denominator first.

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