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

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

  1. Multiply the whole number by the denominator: 82 × 5 = 410
  2. Add this result to the numerator: 410 + 4 = 414
  3. Divide the previous result by the denominator: 414 ÷ 5 = 82.8

So the mixed number 82 4 5 as a decimal is 82.8.

Please note that you can also express this result as a fraction: 414/5.