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Convert fractions to percents

A fraction can be interpreted as a ratio and expressed as a percent by finding an equivalent fraction with denominator 100 or by dividing the numerator by the denominator and multiplying by 100%; the resulting percent may be less than, equal to, or greater than 100% for proper, unit, or improper fractions. This preserves the quantity’s value and supports proportional reasoning, while distinguishing percent from the decimal itself and avoiding changes to the denominator without maintaining equivalence.

Detailed Explanation: Convert fractions to percents

A fraction can be written as a percent by finding an equivalent fraction with a denominator of (100)(100). The numerator then tells how many hundredths there are.

Example: Convert 34\frac{3}{4} to a percent.

  1. Find a number that changes 44 to (100)(100):
4×25=100 4 \times 25=100
  1. Multiply the numerator by the same number to keep the fraction equivalent:
34×2525=75100 \frac{3}{4}\times\frac{25}{25}=\frac{75}{100}
  1. A fraction with denominator (100)(100) can be written as a percent:
75100=75% \frac{75}{100}=75\%

Therefore,

34=75%\boxed{\frac{3}{4}=75\%}

The percent is (75%)(75\%), while the decimal form is (0.75)(0.75). They represent the same amount, but (75%)(75\%) means (75)(75) out of (100)(100).

Learn by doing: Convert fractions to percents

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    Fraction to Percents - Standard

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