How to convert 82 3/4 to a decimal number?

Some mixed numbers, such as 82 3/4, represent a value that can also be expressed as a decimal (which can make certain calculations and comparisons easier to perform).

Step-by-step conversion of 82 3/4 to a decimal number

  1. Multiply the whole number by the denominator: 82 × 4 = 328
  2. Add this result to the numerator: 328 + 3 = 331
  3. Divide the previous result by the denominator: 331 ÷ 4 = 82.75

So the mixed number 82 3 4 as a decimal is 82.75.

Please note that you can also express this result as a fraction: 331/4.