A fraction can be interpreted as a ratio to one whole and converted to a percent by determining its equivalent amount per 100, either by forming an equivalent fraction with denominator 100 when possible or by dividing and multiplying by . The conversion preserves the quantity, including percentages greater than 100% and nonterminating values represented with appropriate approximation; it supports proportional reasoning and prevents confusing the percent symbol with a change in the underlying value.
A percent tells how many parts there are out of . To convert a fraction to a percent, rewrite it as an equivalent fraction with a denominator of when possible.
Example: Convert to a percent.
Make the denominator :
Multiply the numerator by the same number so the fraction keeps the same value:
A fraction with denominator directly shows the percent:
Therefore,
Multiplying both the numerator and denominator by the same number preserves the fraction’s value; it only rewrites the amount in “per 100” form.
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