Fraction Calculator
Add, subtract, multiply and divide fractions and mixed numbers — auto-simplified, with decimal and mixed-number conversion. Free, runs in your browser.
Fraction Calculator
How to Use the Fraction Calculator
Enter the first fraction
Type the numerator (top) and denominator (bottom). For a mixed number like 2¾, put 2 in the whole-number box on the left and 3 over 4 in the fraction. Leave the whole box empty for a simple fraction.
Choose an operation
Pick add, subtract, multiply, or divide between the two fractions. The result updates instantly as you type — no submit button needed.
Enter the second fraction
Fill in the second fraction (or mixed number) the same way. Negative fractions are fine — put the minus sign on the whole number, or on the numerator if there is no whole part.
Read the answer
You get the result as a fully simplified fraction, as a mixed number, and as a decimal — all at once. The calculator always reduces to lowest terms automatically.
Working With Fractions
Why Fractions Trip People Up
Fractions are one of the first places arithmetic stops being automatic. Adding 1/2 and 1/3 is not "add the tops and add the bottoms" — that would give 2/5, which is wrong. You have to find a common denominator first (here, 6), rewrite each fraction over it (3/6 and 2/6), and only then add to get 5/6. Multiplication and division follow different rules again: to multiply you multiply straight across, and to divide you "flip and multiply" the second fraction. These rules are simple once learned but easy to mix up, which is exactly why a calculator that shows the fully worked, simplified answer is so useful — for students checking homework, for parents helping with it, and for anyone whose school fractions have gone a little rusty. This tool handles all four operations, reduces every answer to lowest terms automatically using the greatest common divisor, and copes with mixed numbers and negatives without fuss.
"Simplifying" — reducing a fraction to its lowest terms — is the step people most often forget. 6/8 and 3/4 are the same number, but 3/4 is the conventional, tidy form, found by dividing top and bottom by their greatest common divisor (here, 2). This calculator always does that final simplification for you, and it is built on the same shared math engine that powers the site's GCD & LCM calculator — so the simplification you see here is computed exactly the same way. Seeing the answer three ways at once — simplified fraction, mixed number, and decimal — also helps build intuition for how the same quantity looks in each form, which is half the point of learning fractions in the first place.
"A fraction and its decimal are the same number wearing different clothes. Fluency means seeing 3/4, 0.75, and 'three quarters' as one idea."
Mixed Numbers, Decimals, and Real Life
Fractions are not just a school exercise — they are everywhere in the physical world. Recipes call for 2¾ cups of flour; a tape measure is divided into halves, quarters, eighths, and sixteenths of an inch; music is built on whole, half, and quarter notes; woodworking and sewing live and die by fractional measurements. In all of these, you frequently need to add or subtract mixed numbers (¾ cup plus ⅔ cup, or 5⅛ inches minus 1¾ inches) and then express the answer in a usable form. That is precisely what this calculator is for: enter the mixed numbers, pick the operation, and read off the answer as a clean mixed number you can act on, plus the decimal if you would rather measure that way. Everything runs in your browser, instantly and privately, so it is as quick to reach for as a notepad — but it never makes an arithmetic slip.
10 Facts About Fractions
To add fractions you need a common denominator — you cannot just add the tops.
To multiply, you multiply straight across — tops together, bottoms together.
To divide, flip the second fraction and multiply (multiply by the reciprocal).
Simplifying means dividing top and bottom by their greatest common divisor.
6/8, 3/4 and 0.75 are all the same number in different forms.
The ancient Egyptians wrote almost all fractions as sums of unit fractions (1/n).
The fraction bar (vinculum) dates back to medieval Arab mathematicians.
A mixed number like 2¾ is a whole number plus a proper fraction.
This calculator always reduces to lowest terms automatically.
It shares its tested math engine with the GCD/LCM and other calculators here.
Frequently Asked Questions
- Enter the numerator and denominator of each fraction, choose the + operation, and the calculator finds a common denominator, adds them, and simplifies the result automatically. For example, 1/2 + 1/3 becomes 3/6 + 2/6 = 5/6. You see the answer as a fraction, a mixed number, and a decimal at once.
- Yes. Put the whole number (2) in the left-hand box and the fraction (3 over 4) in the fraction boxes. The calculator converts the mixed number to an improper fraction internally, does the arithmetic, and gives you the answer back as a tidy mixed number. This is ideal for recipes and measurements.
- Always. Every result is reduced to lowest terms by dividing the numerator and denominator by their greatest common divisor — so you get 3/4 rather than 6/8. This is the same simplification logic used by the site's GCD/LCM calculator, because both run on the same shared math engine.
- Just choose the ÷ operation. Behind the scenes the calculator applies the "flip and multiply" rule — it inverts the second fraction and multiplies. So 1/2 ÷ 1/4 becomes 1/2 × 4/1 = 2. You do not have to remember the rule; the calculator applies it for you and simplifies the result.
- Yes. Put the minus sign on the whole number for a negative mixed number, or on the numerator if there is no whole part. The calculator tracks the sign correctly through all four operations and shows a negative result clearly.
- The decimal form is shown automatically alongside every result — it is simply the numerator divided by the denominator (3/4 = 0.75). If you just want to convert a single fraction, enter it as the first fraction with a "+ 0" second fraction, or multiply by 1, and read off the decimal row.
- A denominator of zero, or dividing by the fraction 0, is undefined in mathematics, so the calculator shows a clear error message instead of a wrong answer. Correct the input and the result reappears instantly.
- It comfortably handles the whole numbers you would use in school and everyday life. For extremely large numerators and denominators, standard floating-point limits apply, the same as any calculator — but for normal fraction work it is exact and instant.
- Yes. Everything runs in your browser — nothing you type is uploaded, stored, or logged, and the calculator works offline once the page has loaded. It is as private as scribbling on paper, but without the arithmetic mistakes.
- Completely free, with no account, sign-up, or limit. It runs entirely in your browser and collects no data. Use it as much as you like.
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