How to convert 82 5/4 to a decimal number?

Some mixed numbers, such as 82 5/4, 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 5/4 to a decimal number

  1. Multiply the whole number by the denominator: 82 × 4 = 328
  2. Add this result to the numerator: 328 + 5 = 333
  3. Divide the previous result by the denominator: 333 ÷ 4 = 83.25

So the mixed number 82 5 4 as a decimal is 83.25.

Please note that you can also express this result as a fraction: 333/4.