How to convert 6 4/6 to a decimal number?

Some mixed numbers, such as 6 4/6, 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 6 4/6 to a decimal number

  1. Multiply the whole number by the denominator: 6 × 6 = 36
  2. Add this result to the numerator: 36 + 4 = 40
  3. Divide the previous result by the denominator: 40 ÷ 6 = 6.6666666666667

So the mixed number 6 4 6 as a decimal is 6.6666666666667.

Please note that you can also express this result as a fraction by simplifying 40/6 = 20/3.