How to convert 38 7/4 to a decimal number?

Some mixed numbers, such as 38 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 38 7/4 to a decimal number

  1. Multiply the whole number by the denominator: 38 × 4 = 152
  2. Add this result to the numerator: 152 + 7 = 159
  3. Divide the previous result by the denominator: 159 ÷ 4 = 39.75

So the mixed number 38 7 4 as a decimal is 39.75.

Please note that you can also express this result as a fraction: 159/4.