How to convert 46 6/6 to a decimal number?

Some mixed numbers, such as 46 6/6, 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 46 6/6 to a decimal number

  1. Multiply the whole number by the denominator: 46 × 6 = 276
  2. Add this result to the numerator: 276 + 6 = 282
  3. Divide the previous result by the denominator: 282 ÷ 6 = 47

So the mixed number 46 6 6 as a decimal is 47.

Please note that you can also express this result as a fraction by simplifying 282/6 = 47/1.