What Is the Way to Convert Ratios?

Converting ratios is a simple calculation that you can complete with a calculator. Solve easy ratios by reducing the numbers through a common factor to one that is simple enough to not require a calculator.

  1. Simplify multiple ratios

    Simplifying a ratio may involve working with multiple ratios. If you are adding the ratios, ensure that the denominators are the same. For example, if you are given 2/3 and 1/2, the least common denominator is six. Divide this number by the denominator in the fraction, and multiply that result by the numerator. If you are asked to multiply two ratios, use cross-multiplication. To do this, multiply the numerator of one ratio by the denominator of the other. Do this for both numbers.

  2. Simplify a single ratio

    Simplify a single ratio by ensuring that it is in the lowest common form. For example, 4/16 can be reduced because 16 is a multiple of 4. Dividing both terms by 4 produces a new ratio of 1/4. This reduction typically involves a whole number without decimal spaces. Therefore, you cannot reduce a ratio like 2/7 any further.

  3. Calculate the result

    Calculate the result to finish the conversion. For simple ratios, such as 1/4, you may know the answer offhand and won't need a calculator. For more difficult ratios, you may need a calculator to ensure accuracy.