Mixed Number Calculator

BASIC

Add, subtract, multiply, or divide mixed numbers and fractions. Type values like 2 3/4 and pick an operation.

Result
—
As a mixed number.

Usage Tip

A space separates the whole part from the fraction: write two and three-quarters as 2 3/4, not 2-3/4.

THE MATH
Convert each to an improper fraction, combine, then simplify
Result shown as a mixed number, fraction, and decimal
A mixed number like 2 3/4 equals the improper fraction 11/4. Arithmetic is done on the improper fractions, then converted back.
The answer is reduced to lowest terms.
Type values as a whole number, a fraction like 3/4, or a mixed number like 2 3/4 (with a space).
Negative values are supported with a leading minus.
Denominators cannot be zero.
Practical Notes

Mixed numbers combine a whole number and a fraction, such as 2 3/4, which means two and three quarters. To work with them, convert each to an improper fraction by multiplying the whole number by the denominator and adding the numerator, so 2 3/4 becomes 11/4. Then apply the operation and convert the result back to a mixed number.

Adding and subtracting need a common denominator, while multiplying simply multiplies the tops and the bottoms, and dividing flips the second fraction and multiplies. Results are reduced to lowest terms. Mixed numbers are common in woodworking, sewing, and cooking, where measurements such as 1 1/2 inches or 2 1/4 cups are used constantly.

Spotted an error or have a suggestion for this calculator? Let us know →
Scroll to Top

The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.