How to convert 46 10/8 to a decimal number?

Some mixed numbers, such as 46 10/8, 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 46 10/8 to a decimal number

  1. Multiply the whole number by the denominator: 46 × 8 = 368
  2. Add this result to the numerator: 368 + 10 = 378
  3. Divide the previous result by the denominator: 378 ÷ 8 = 47.25

So the mixed number 46 10 8 as a decimal is 47.25.

Please note that you can also express this result as a fraction by simplifying 378/8 = 189/4.