Percent represents a fraction with a denominator of 100, so converting a simple fraction involves finding an equivalent fraction out of 100 or converting its decimal form and multiplying by 100; for example, . Understanding that the whole is 100% prevents confusing a fraction’s denominator with its percent value and supports proportional reasoning; this scope focuses on common fractions with terminating decimal or convenient equivalent forms, not repeating decimals or more complex general cases.
A percent tells how many parts there are out of . To convert a fraction to a percent, make an equivalent fraction with a denominator of .
Example: Convert to a percent.
Ask: What number times equals ?
Multiply the numerator by the same number:
A fraction out of can be written as a percent:
Therefore,
Remember: the denominator means the whole is divided into equal parts, so the numerator tells the percent.
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