How Do You Write Each Percent As a Fraction in Its Simplest Form?

You can easily write a number in percentage form as a fraction in its simplest form by converting your numbers from one form to the other. A percentage can be directly converted to a fraction, or a percentage can be converted to a decimal first, then to a fraction. In converting percentages to simplified fractions, it is important to keep in mind that percent means "out of 100."

  1. Divide by one hundred

    Write down the percentage divided by a hundred. For example, if the given percentage is 7 percent, simply write it as 7/100. If the percent is a whole number, proceed to step three.

  2. Count the number of decimal places

    If the percent is not a whole number, count the number of decimal places. Multiply both the numerator and denominator by 10 for each space counted. For example, if the given percent is 3.5 percent, multiply 3.5/100 by 10/10 to get 35/1000.

  3. Reduce the fraction to its lowest possible terms

    Determine if the fraction is in its lowest terms. If not, divide both the numerator and the denominator by their greatest common factor. This new fraction represents the equivalent number to your original percentage, now in the form of a simplified fraction.