Can It Calculate Mixed Numbers?

Yes. Enter the whole-number and fractional parts separately. Put a negative sign on the whole number for a negative mixed value; for a proper or improper fraction without a whole number, put the sign on the numerator.

Does It Round Fractions?

No. Fraction arithmetic and simplification use exact integers. Only the decimal and percentage views are rounded for display.

Why Is A Zero Denominator Invalid?

Division by zero is undefined, so a fraction with zero in the denominator cannot represent a number. The calculator identifies the affected input instead of silently changing it.

Fraction Calculator

Add, subtract, multiply and divide whole, mixed and improper fractions with exact simplification and worked steps.

Build The Equation

For a negative mixed number, place the minus sign on the whole number.

First Fraction

Whole NumberNumeratorDenominator

Operation

Second Fraction

Whole NumberNumeratorDenominator

Exact Result

Equivalent forms update as you type.

Improper Fraction: 11/6
Mixed Number: 1 5/6
Decimal (Rounded): 1.83333333
Percent (Rounded): 183.3333%

Worked Steps

Follow the exact arithmetic from the original fractions to the simplified result.

Write As Improper Fractions
3/2 + 1/3
Find A Common Denominator
The least common denominator of 2 and 3 is 6.
Rewrite The Fractions
9/6 + 2/6
Add The Numerators
(9 + 2)/6 = 11/6
Simplify The Result
11/6 is already in simplest form.

Recent Calculations

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What Is the Fraction Calculator?

The Fraction Calculator performs exact rational arithmetic without converting the inputs to floating-point numbers. It accepts proper fractions, improper fractions, mixed numbers and negative values, then reports the simplified fraction, mixed-number form, decimal and percentage. The calculation sheet also shows the common denominator, reciprocal or cross-products used by the selected operation.

How It Works

Enter an optional whole number plus a numerator and denominator for each operand. Choose Add, Subtract, Multiply or Divide. The calculator normalizes each mixed number, performs the operation with exact integers, reduces the result by its greatest common divisor and displays the worked stages. Swap the operands, copy a result or save a recent calculation for local reference.

When to Use It

Use it for homework checks, recipe scaling, measurements, construction math or any calculation where an exact fraction is more useful than a rounded decimal.

Frequently Asked Questions

Can It Calculate Mixed Numbers?: Yes. Enter the whole-number and fractional parts separately. Put a negative sign on the whole number for a negative mixed value; for a proper or improper fraction without a whole number, put the sign on the numerator.
Does It Round Fractions?: No. Fraction arithmetic and simplification use exact integers. Only the decimal and percentage views are rounded for display.
Why Is A Zero Denominator Invalid?: Division by zero is undefined, so a fraction with zero in the denominator cannot represent a number. The calculator identifies the affected input instead of silently changing it.

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