How to convert 33 6/8 to a decimal number?

Some mixed numbers, such as 33 6/8, 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 33 6/8 to a decimal number

  1. Multiply the whole number by the denominator: 33 × 8 = 264
  2. Add this result to the numerator: 264 + 6 = 270
  3. Divide the previous result by the denominator: 270 ÷ 8 = 33.75

So the mixed number 33 6 8 as a decimal is 33.75.

Please note that you can also express this result as a fraction by simplifying 270/8 = 135/4.