Mixed Number Calculator

⚡ Add, subtract, multiply & divide mixed numbers instantly. Convert between mixed numbers and improper fractions. 100% free.

The Best Mixed Number Calculator Online

Work with mixed numbers like 2 1/2 or 5 3/4 with ease. Our calculator handles all four operations (add, subtract, multiply, divide) and converts between mixed numbers and improper fractions with step-by-step solutions.

Mixed to Improper

a b/c = (a×c + b)/c

Multiply whole by denominator, add numerator

Improper to Mixed

n/d = q r/d

Divide: quotient is whole, remainder over denominator

Add Fractions

a/b + c/d = (ad + bc)/bd

Cross multiply and add

Subtract Fractions

a/b − c/d = (ad − bc)/bd

Cross multiply and subtract

Multiply Fractions

a/b × c/d = ac/bd

Multiply numerators and denominators

Divide Fractions

a/b ÷ c/d = a/b × d/c

Multiply by reciprocal

Examples

Add Mixed Numbers: 2 1/2 + 1 3/4

1Convert to improper: 2 1/2 = 5/2, 1 3/4 = 7/4
2Find common denominator: 5/2 = 10/4
3Add: 10/4 + 7/4 = 17/4
4Convert back: 17/4 = 4 1/4

Multiply Mixed Numbers: 1 1/2 × 2 1/3

1Convert to improper: 1 1/2 = 3/2, 2 1/3 = 7/3
2Multiply: (3 × 7)/(2 × 3) = 21/6
3Simplify: 21/6 = 7/2 = 3 1/2

Convert 17/5 to Mixed

117 ÷ 5 = 3 remainder 2
2Whole number: 3
3Remainder over denominator: 2/5
4Result: 3 2/5

Frequently Asked Questions

What is a mixed number?

A mixed number has a whole number part and a fraction part, like 2 1/2 (two and a half). It represents a value greater than 1.

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

Multiply the whole number by the denominator, add the numerator, and put it over the original denominator. Example: 2 3/4 = (2×4 + 3)/4 = 11/4.

How do I add mixed numbers?

Convert both to improper fractions, find a common denominator, add the numerators, then convert back to a mixed number if needed.

Is this calculator free?

Yes! 100% free with no signup required. Use it as many times as you need!