How to convert 40 7/4 to a decimal number?

Some mixed numbers, such as 40 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 40 7/4 to a decimal number

  1. Multiply the whole number by the denominator: 40 × 4 = 160
  2. Add this result to the numerator: 160 + 7 = 167
  3. Divide the previous result by the denominator: 167 ÷ 4 = 41.75

So the mixed number 40 7 4 as a decimal is 41.75.

Please note that you can also express this result as a fraction: 167/4.