How to convert 7 4/6 to a decimal number?

Some mixed numbers, such as 7 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 7 4/6 to a decimal number

  1. Multiply the whole number by the denominator: 7 × 6 = 42
  2. Add this result to the numerator: 42 + 4 = 46
  3. Divide the previous result by the denominator: 46 ÷ 6 = 7.6666666666667

So the mixed number 7 4 6 as a decimal is 7.6666666666667.

Please note that you can also express this result as a fraction by simplifying 46/6 = 23/3.