How to convert 3 4/6 to a decimal number?

Some mixed numbers, such as 3 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 3 4/6 to a decimal number

  1. Multiply the whole number by the denominator: 3 × 6 = 18
  2. Add this result to the numerator: 18 + 4 = 22
  3. Divide the previous result by the denominator: 22 ÷ 6 = 3.6666666666667

So the mixed number 3 4 6 as a decimal is 3.6666666666667.

Please note that you can also express this result as a fraction by simplifying 22/6 = 11/3.