A fraction is converted to a percentage by first expressing the fraction with a denominator of 100, then writing the numerator with a percent sign behind it. Some fractions can be easily converted if basic ratio equivalents are known.
- Simplify the fraction
Percent literally means "per hundred," so the fraction has to be rewritten to express the same ratio out of 100. For an example, take the fraction 4/6. Because it has a common factor of 2, it simplifies to 2/3.
- Convert the fraction
The denominator, or the bottom number, has to be 100. Divide 100 by 3 to yield 3.33. Multiply both parts of the fraction by this number. Done correctly, this should yield a result of 66.6/100.
- Rewrite the fraction as a percentage
When the fraction has a denominator of 100, the numerator is the percentage; therefore, 4/6 converts to 66.6 percent.
- Alternatively, divide the denominator by the numerator
Another example could be 34/45. When calculated, this yields 0.755. Move the decimal point two places to the right.
- For quicker conversion, learn basic ratios
Fractions with a denominator of 3 are increments of 33.3 percent, ones with 4 are increments of 25 percent, and fractions with a denominator of 5 are in increments of 20 percent.