Mixed Numbers
Enter the whole part and the fraction part.
Result
-
Enter numbers to see the result.
Improper fraction
-
Decimal
-
Simplified
-
Formula: Improper numerator = (Whole x Denominator) + Numerator. Decimal = numerator / denominator.
Convert a mixed number like 2 3/4 into an improper fraction and a decimal, instantly.
Enter the whole part and the fraction part.
Enter numbers to see the result.
A mixed number is a whole plus a fraction. To convert it, multiply the whole by the denominator and add the numerator: that becomes the new numerator over the same denominator. So 2 3/4 becomes (2 x 4 + 3)/4 = 11/4, and the decimal is simply 11 / 4 = 2.75.
Improper fractions are easier to multiply, divide, and add with unlike denominators than mixed numbers are. Converting first keeps arithmetic clean, and converting back at the end gives a readable answer.