How do you add or subtract fractions with different denominators?

Rewrite both fractions over a common denominator, then add or subtract the numerators and reduce. For 1/2 + 1/3 the common denominator is 6, so 1/2 = 3/6 and 1/3 = 2/6, giving 3/6 + 2/6 = 5/6. The calculator uses the cross-multiply form a/b + c/d = (ad + cb) / (bd) and then divides by the GCD.

How do you multiply and divide fractions?

To multiply, multiply the numerators together and the denominators together: 2/3 × 3/4 = 6/12 = 1/2. To divide, invert (flip) the second fraction and multiply: 1/2 ÷ 1/4 = 1/2 × 4/1 = 2. The calculator shows both the flip and the simplified result.

Can I use mixed numbers and whole numbers?

Yes. A mixed number like 2 1/3 is read as a whole part plus a fraction and converted to the improper fraction 7/3 (2×3 + 1 = 7). Whole numbers are treated as n/1, so 5 becomes 5/1. You can mix all four formats freely in one calculation.

How does it simplify (reduce) the answer?

Every result is reduced to lowest terms by dividing the numerator and denominator by their greatest common divisor, found with the Euclidean algorithm. A negative sign is always carried on the numerator so the denominator stays positive — for example −3/−4 is shown as 3/4 and 2/−5 as −2/5.

Why does the decimal sometimes look rounded?

Fractions such as 1/3 produce repeating decimals (0.3333…) that cannot be written exactly with finite digits. The fraction form (1/3) is the exact answer; the decimal is rounded to about ten significant digits for display. When a fraction terminates, like 3/8 = 0.375, the decimal is exact.

Can I chain more than two fractions?

Yes. Use Add operand to build a chain of up to six values, each with its own operator. The calculator evaluates strictly left to right (it does not apply BODMAS precedence), carrying the exact un-reduced value forward between steps so no rounding error creeps in, then reduces the final result.

Is anything uploaded when I use this?

No. All of the arithmetic runs in your browser with plain integer math. Nothing you type is sent to a server, logged or stored.

Fraction Calculator — Gera Tools

A fraction calculator that does the fiddly parts for you — finding common denominators, flipping divisors, keeping signs tidy and reducing to lowest terms — and then shows its working so you can learn the method, not just copy the answer. Enter ordinary fractions like 3/4, mixed numbers like 2 1/3, whole numbers like 5, or decimals like 0.75, mix them in a single calculation, and chain up to six operands with their own operators. Every result is returned as a reduced fraction, a decimal, and (when it is an improper fraction) a mixed number.

How it works

The tool uses exact integer arithmetic, so there is no floating-point drift. Each operand is parsed into a numerator and denominator: a mixed number W N/D becomes (W×D + N)/D, a whole number n becomes n/1, and a terminating decimal like 0.75 becomes 75/100, which reduces to 3/4. The four operations follow the standard rules:

Add / subtract: a/b ± c/d = (a·d ± c·b) / (b·d) — a common denominator via cross-multiplication.
Multiply: a/b × c/d = (a·c) / (b·d) — numerators times numerators, denominators times denominators.
Divide: a/b ÷ c/d = a/b × d/c = (a·d) / (b·c) — invert the divisor and multiply.

After each step the result is reduced to lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD), computed with the Euclidean algorithm. The sign is always carried on the numerator so the denominator stays positive. When you chain several operands, the calculator evaluates left to right and carries the exact, un-reduced fraction forward between steps — only the final answer (and each step’s display) is simplified — which guarantees the result is exact.

Worked example

Compute 1/2 + 1/3 − 1/6, left to right.

1/2 + 1/3 = (1×3 + 1×2) / (2×3) = 5/6.
5/6 − 1/6 = (5×6 − 1×6) / (6×6) = 24/36, which reduces to 2/3.

So the answer is 2/3, or about 0.6667 as a decimal. For a multiply-and-divide example, 2 1/3 ÷ 1/2 first converts the mixed number to 7/3, then divides: 7/3 ÷ 1/2 = 7/3 × 2/1 = 14/3, which is the mixed number 4 2/3 and the decimal 4.6667.

Operation	Example	Result	Decimal
Add	1/2 + 1/3	5/6	0.8333…
Subtract	3/4 − 1/4	1/2	0.5
Multiply	2/3 × 3/4	1/2	0.5
Divide	1/2 ÷ 1/4	2	2
Mixed	2 1/3 + 1 1/6	7/2 (3 1/2)	3.5

Reference: a fraction is in lowest terms when gcd(numerator, denominator) = 1. Two fractions are equal when their cross-products match: a/b = c/d exactly when a·d = b·c.

Enter your operands, choose the operations, and the result and full working update instantly — all in your browser, with nothing uploaded or stored.