How to convert 40 6/7 to a decimal number?

Some mixed numbers, such as 40 6/7, 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 40 6/7 to a decimal number

  1. Multiply the whole number by the denominator: 40 × 7 = 280
  2. Add this result to the numerator: 280 + 6 = 286
  3. Divide the previous result by the denominator: 286 ÷ 7 = 40.857142857143

So the mixed number 40 6 7 as a decimal is 40.857142857143.

Please note that you can also express this result as a fraction: 286/7.