Mixed Number Calculator
Work with mixed numbers and improper fractions without the headache. Enter two mixed numbers, pick an operation, and get the answer as both a fraction and a decimal. For example, 2 3/4 + 1 1/2 gives you 4 1/4.
How Mixed Number Arithmetic Works
A mixed number like 2 3/4 combines a whole number (2) with a fraction (3/4). To do math with mixed numbers, the calculator first converts them to improper fractions, then operates, and finally converts back.
Step-by-step: 2 3/4 + 1 1/2
- Convert to improper fractions: 2 3/4 = 11/4, and 1 1/2 = 3/2
- Find a common denominator: 11/4 + 6/4
- Add the numerators: 17/4
- Convert back: 17/4 = 4 1/4
Converting Mixed Numbers to Improper Fractions
Multiply the whole number by the denominator, add the numerator, and keep the same denominator. For 3 2/5: (3 x 5 + 2) / 5 = 17/5.
Converting Improper Fractions to Mixed Numbers
Divide the numerator by the denominator. The quotient is the whole number, the remainder is the new numerator. For 17/4: 17 / 4 = 4 remainder 1, so the answer is 4 1/4.