Mixed Numbers Calculator

Easily add, subtract, multiply, or divide mixed numbers. This tool automatically converts to improper fractions for math and then back to simplified mixed numbers.

Method: Convert to improper fractions (w*d + n)/d, perform arithmetic, then simplify and convert back to mixed form.
1 1/2 + 2 1/4: • 3/2 + 9/4 = 6/4 + 9/4 = 15/4 • Result: 3 3/4.

What is a mixed number?

A mixed number is a quantity consisting of a whole number and a proper fraction (like 1 1/2). It represents a value between two consecutive integers.

How do you add mixed numbers?

Method 1: Add the whole numbers and the fractions separately, then combine. Method 2: Convert both mixed numbers into improper fractions, add them, and then convert the result back into a mixed number.

How do I convert a mixed number to an improper fraction?

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 2 3/4 = (2 × 4 + 3) / 4 = 11/4.

Can I multiply mixed numbers directly?

No. You must convert both mixed numbers into improper fractions before multiplying. Multiply the numerators together and the denominators together, then simplify the result.