Fraction Calculator
Add, subtract, multiply, divide and raise fractions to a power, with the answer given exactly rather than as a rounded decimal. Each side accepts a fraction like 3/4, a mixed number like 2 1/2, a whole number, a decimal like 0.75, or even a repeating decimal written with its cycle in brackets. The arithmetic keeps numerators and denominators as whole numbers throughout, so a third plus a third plus a third comes out as exactly 1 instead of 0.9999999999999998. The result is shown simplified, as a mixed number, as a decimal with any repeating block marked, and as a percentage — and for addition and subtraction the common-denominator step is shown so the working is visible rather than just the answer.
How it works
Enter each side as a fraction (3/4), a mixed number (2 1/2), a whole number, a decimal (0.75), or a repeating decimal written with the cycle in brackets (0.1(6) for one sixth).
The arithmetic is exact — numerators and denominators are kept as whole numbers throughout, so a third plus a third plus a third is 1 rather than 0.9999999999999998.
The same answer, written other ways
Working
Adding and subtracting needs a common denominator first.
1/2 + 1/3 = 3/6 + 2/6 = (3 + 2) / 6 = 5/6
Comparing the two values
Frequently asked questions
Can I enter mixed numbers?
Yes — write them with a space, as in 2 1/2. A minus sign applies to the whole quantity, so -2 1/2 is negative two and a half.
How do I convert a decimal to a fraction?
Type the decimal into either box. 0.75 is read as 3/4 exactly, and a repeating decimal can be written as 0.1(6), which is recognised as one sixth.
Why is the decimal answer shown with brackets?
The digits in brackets repeat forever. One third is shown as 0.(3) rather than a truncated 0.3333333, because the bracket says exactly what the number is.
Does it simplify the result automatically?
Yes — every result is reduced to lowest terms by dividing through by the greatest common divisor, and the mixed-number form is given alongside it.
Can it handle very large numerators and denominators?
Yes. The arithmetic uses whole numbers of unlimited size, so chaining operations never loses precision no matter how large the denominators become.
What does the nearest simple fraction row mean?
It is the closest fraction with a small denominator — useful when an exact answer like 355/113 is more precise than you need and 22/7 would do.
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