By Carter McBride | Updated Aug 30, 2022

Ratios are a powerful tool for comparing quantities, but raw numbers can sometimes obscure meaning. By learning how to enlarge or reduce a ratio, you can make data easier to grasp or emphasize its significance.

Step 1: Identify the Ratio

Start with the ratio you want to work with. For instance, consider the commonly cited 9 out of 10.

Step 2: Scale Up the Ratio

To enlarge a ratio, multiply both the numerator and the denominator by the same factor. Using the example above:

• 9 × 10 = 90
• 10 × 10 = 100

The enlarged ratio is now 90 out of 100.

Step 3: Reduce the Ratio

To simplify a ratio, divide both terms by the same number. Continuing with the 90/100 ratio:

• 90 ÷ 50 = 1.8
• 100 ÷ 50 = 2

The reduced form is 1.8 out of 2.

Using these techniques, you can turn a complex ratio like 500 out of 600 into the clearer 5 out of 6, or present a success rate of 900 out of 1,000 rather than 9 out of 10 to emphasize impact.