AZ Tools

Fraction Calculator — Add, Subtract, Multiply, Divide

Everyday

Enter two values — proper fractions (`3/4`), mixed numbers (`1 1/2`), whole numbers (`5`), or decimals (`1.25`) — pick an operation, and get the exact result. The answer is shown as a fully reduced fraction, an equivalent mixed number, and a decimal, plus the step-by-step work: finding a common denominator for addition and subtraction, multiplying across for products, and inverting the divisor for division. All math uses exact BigInt arithmetic, so there's no floating-point rounding, and everything runs in your browser.

Operation

Accepts fractions (3/4), mixed numbers (1 1/2), whole numbers (5), and decimals (1.25).

Result

17/12

Simplified

17/12

Mixed number

1 5/12

Decimal

1.4166666667

Steps

3/4 + 2/3
= 9/12 + 8/12
= 17/12
= 17/12 = 1 5/12

Exact BigInt arithmetic — results are fully reduced. The decimal is rounded for display only.

How to use

  1. Type a fraction in each field: 3/4, a mixed number like 1 1/2, a whole number, or a decimal like 1.25.
  2. Choose +, −, ×, or ÷ for the operation.
  3. Read the reduced result, the mixed-number form, and the decimal — and expand the steps to see how it was solved.
  4. Copy the result line with the copy button.

Frequently asked questions

What input formats are accepted?
Proper or improper fractions (3/4, 7/4), mixed numbers with a space (1 1/2), whole numbers (5), and decimals (1.25). Negative signs go in front: -3/4 or -1 1/2.
Is the result always fully reduced?
Yes. After every operation the fraction is divided by the greatest common divisor of numerator and denominator, so 8/12 is shown as 2/3.
Are the answers exact?
Yes — the calculator works with BigInt integers internally, so there's no floating-point error. The decimal field is rounded for display, but the fraction and mixed-number forms are exact.
How is a decimal turned into a fraction?
1.25 becomes 125/100, which reduces to 5/4. The number of decimal places sets the power-of-ten denominator before reducing.
What happens if I divide by zero?
Dividing by a fraction that equals zero is undefined, so the calculator shows an error instead of a result.

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