How to convert 83 4/7 to a decimal number?

Some mixed numbers, such as 83 4/7, 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 83 4/7 to a decimal number

  1. Multiply the whole number by the denominator: 83 × 7 = 581
  2. Add this result to the numerator: 581 + 4 = 585
  3. Divide the previous result by the denominator: 585 ÷ 7 = 83.571428571429

So the mixed number 83 4 7 as a decimal is 83.571428571429.

Please note that you can also express this result as a fraction: 585/7.