To turn a fraction into a percent, follow these steps:
- Divide the numerator (top number) by the denominator (bottom number) to convert the fraction to a decimal.
- Multiply the decimal by 100.
- Add the percent sign (%) to the result.
For example, to convert the fraction 47\frac{4}{7}74 to a percent:
- Divide 4 by 7 to get approximately 0.5714.
- Multiply 0.5714 by 100 to get 57.14.
- Write the answer as 57.14%.
Alternatively, you can multiply the fraction directly by 100 and then simplify if necessary, adding the % sign at the end. The formula is:
Percentage=NumeratorDenominator×100\text{Percentage}=\frac{\text{Numerator}}{\text{Denominator}}\times 100Percentage=DenominatorNumerator×100
This method works for any fraction, proper or improper. For mixed fractions, convert to an improper fraction first before applying the above steps.