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Fraction Calculator

Enter two fractions — like 3/4, −5/6, 7 or a mixed number such as 2 1/3 — choose an operation, and get the answer in lowest terms as an improper fraction, a mixed number and a decimal, with every step shown. All arithmetic is exact and runs in your browser.

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1. Fractions

Exact BigInt arithmetic

Accepted: whole numbers (7), fractions (3/4, −5/6) and mixed numbers (2 1/3). Up to 20 digits per part. Decimals are not accepted — write 0.5 as 1/2.

2. Result

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Enter two fractions and press Calculate.
About this tool

About Fraction Calculator

Fraction Calculator adds, subtracts, multiplies and divides two fractions, whole numbers or mixed numbers using exact big-integer arithmetic. Every answer is reduced to lowest terms and shown as an improper fraction, a mixed number where it applies, and a decimal, together with the steps used to get there.

Fraction arithmetic is easy to slip on: finding a common denominator, flipping the divisor or simplifying the result. Seeing each step makes it simple to check homework, recipes, measurements and woodworking cuts, and exact arithmetic means no rounding creeps in.

How to use

Step by step

  1. Enter the first value as a whole number (7), a fraction (3/4) or a mixed number (2 1/3).
  2. Choose add, subtract, multiply or divide.
  3. Enter the second value.
  4. Press Calculate to see the simplified fraction, mixed number and decimal.
  5. Read the steps, then copy or download the summary.
Key features

What it offers

  • Addition, subtraction, multiplication and division
  • Whole numbers, proper and improper fractions, negative fractions and mixed numbers
  • Exact BigInt arithmetic with results in lowest terms
  • Improper fraction, mixed number and 12-place decimal forms
  • Step-by-step working, including the common denominator and the reciprocal
  • Clear errors for zero denominators, division by zero, malformed mixed numbers and oversized input
Best practices

Tips for best results

  • Type mixed numbers with a space between the whole number and the fraction: 2 1/3.
  • Put a minus sign only at the front of a value, for example −3/4 or −1 1/2.
  • Use the mixed-number form for measurements and the improper fraction for further calculations.
  • Treat the decimal as a convenience — the fraction is the exact answer.
Benefits

Why people use it

Always exact

Big-integer arithmetic never rounds the fraction.

Fully simplified

Every result is in lowest terms.

Shows the method

Each step is listed, ideal for checking work.

Private

Runs entirely in your browser.

FAQ

Common questions

Whole numbers (7, −3), fractions (3/4, −5/6) and mixed numbers (2 1/3, −1 1/2). A minus sign in front of a mixed number applies to the whole number, so −1 1/2 means −1.5.
The numerator and denominator are divided by their greatest common divisor, found with Euclid’s algorithm, so every result is in lowest terms with a positive denominator.
Both fractions are rewritten over the least common multiple of the denominators, the numerators are added or subtracted, and the result is simplified. The steps show each of these stages.
Dividing by a fraction is the same as multiplying by its reciprocal: a/b ÷ c/d = a/b × d/c. Dividing by zero is not allowed and is reported as an error.
The fraction is exact. The decimal is worked out from it to 12 decimal places and marked “exact” when it ends within those places, or “≈” when it repeats or continues and has been rounded.
In a mixed number the fraction part must be smaller than 1. Write it as the improper fraction 10/3, or as the mixed number 3 1/3.
Each whole number, numerator or denominator can have up to 20 digits. Calculations use exact big-integer arithmetic, so results are never rounded or overflowed.
No. Everything is calculated locally in your browser.
Private by design

This runs entirely in your browser

No file or text you enter here is uploaded. Encoding and decoding happen on your device using native browser APIs — close the tab and nothing remains on a server.

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