How to convert 46 7/4 to a decimal number?

Some mixed numbers, such as 46 7/4, 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 7/4 to a decimal number

  1. Multiply the whole number by the denominator: 46 × 4 = 184
  2. Add this result to the numerator: 184 + 7 = 191
  3. Divide the previous result by the denominator: 191 ÷ 4 = 47.75

So the mixed number 46 7 4 as a decimal is 47.75.

Please note that you can also express this result as a fraction: 191/4.