Add, subtract, multiply, divide, simplify & convert — exact, lowest-terms answers with steps
Fraction A (whole part optional — for mixed numbers like 2 3/4)
Fraction B
Use whole numbers only. A minus on the whole part makes the whole quantity negative (−2 1/3 = −7/3).
This fraction calculator adds, subtracts, multiplies, divides, simplifies, and converts fractions and mixed numbers. Every answer comes back in lowest terms, shown as a mixed number or an improper fraction (your choice), with a full step-by-step solution that mirrors how fractions are taught in school: find the common denominator, build equivalent fractions, combine, reduce, and convert. It runs privately in your browser, free.
Enter whole 1, numerator 1, denominator 2 for A; choose Add; enter numerator 2, denominator 3 for B.
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Results are mathematically exact, not approximations — the engine works on whole-number numerators and denominators using BigInt arithmetic and never converts to floating point internally, so chained operations and large numbers stay precise. "Lowest terms" is guaranteed by dividing the numerator and denominator by their greatest common divisor (GCD via Euclid's algorithm). The only rounded value is the optional decimal equivalent, shown to about 6 digits with a ~ marker for non-terminating decimals (like 1/3 = 0.333333~); the decimal never feeds back into the fraction. The calculator is integer-rational only — it does not accept decimals or irrational values (π, √2). The step breakdown follows the standard US curriculum method, but check your assignment's rules before submitting shown work.
Find a common denominator (the LCD), rewrite each fraction over it, add or subtract the numerators, then reduce to lowest terms. For example 1/2 + 1/3: the LCD is 6, so 3/6 + 2/6 = 5/6. The step view shows every line.
Keep the first fraction, change divide to multiply, and flip the second fraction (its reciprocal). So 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6. You only flip the divisor (the second fraction), never the first.
Put 2 in the whole-number box and 3 and 4 in the numerator and denominator boxes. The tool converts it to the improper fraction 11/4 before calculating. A minus sign on the whole number makes the whole quantity negative, so −2 3/4 means −(2 + 3/4) = −11/4.
Yes. Every answer is divided by the greatest common divisor (GCD) of the numerator and denominator, so it is always in lowest terms. When the input is already reduced you get an "Already in lowest terms" badge.
The fraction answer is mathematically exact. The engine uses whole-number (BigInt) arithmetic on the numerator and denominator and never rounds. The only rounded value is the optional decimal equivalent, shown to about 6 digits with a ~ marker when the decimal is non-terminating, like 1/3 = 0.333333~.
The tool stops and shows an error. A fraction can't have a zero denominator, and you can't divide by a fraction that equals zero. Both cases are blocked rather than guessed.
Yes — 100% free. Everything is calculated privately in your browser; nothing is stored or sold.
🔒 Everything is calculated in your browser. We don't store or sell your data.