How to convert 77 3/4 to a decimal number?

Some mixed numbers, such as 77 3/4, 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 77 3/4 to a decimal number

  1. Multiply the whole number by the denominator: 77 × 4 = 308
  2. Add this result to the numerator: 308 + 3 = 311
  3. Divide the previous result by the denominator: 311 ÷ 4 = 77.75

So the mixed number 77 3 4 as a decimal is 77.75.

Please note that you can also express this result as a fraction: 311/4.