Fraction Calculator

Fraction math without the headache

Enter the numerators and denominators of two fractions, choose an operation, and the calculator returns the exact simplified result. It automatically finds a common denominator for addition and subtraction and reduces every answer using the greatest common divisor.

Result formats

• Simplified fraction
• Decimal equivalent
• Mixed number where applicable

Key features at a glance

• Add, subtract, multiply, and divide two fractions
• Answer automatically reduced to lowest terms
• Shows the decimal equivalent
• Displays a mixed number where applicable
• Finds a common denominator for you
• Runs entirely in your browser, even offline

How fraction arithmetic works

The rules differ by operation, which is what makes fractions fiddly by hand. To add or subtract, the fractions must share a common denominator; you convert each to an equivalent fraction over a common bottom number, then add or subtract the numerators. To multiply, you simply multiply the numerators together and the denominators together. To divide, you flip the second fraction and multiply — dividing by a fraction is the same as multiplying by its reciprocal.

After any operation, the result is usually reduced to its lowest terms by dividing the numerator and denominator by their greatest common divisor. The calculator carries out the right procedure for each operation and always simplifies the answer, so you get an exact result without juggling common denominators or hunting for the GCD yourself.

Why fractions beat decimals for exact values

Fractions represent many values exactly that decimals can only approximate. One third is a clean 1/3 as a fraction, but as a decimal it is 0.333… repeating forever, so any decimal you write down is slightly wrong. For calculations where precision matters — and to avoid the rounding errors that creep in when you chain decimal operations — keeping numbers as fractions preserves the exact value.

This is why fractions remain essential in cooking, construction, engineering, and mathematics, where measurements and ratios are naturally expressed as parts of a whole. The calculator gives you both worlds: the exact fraction for accuracy and the decimal equivalent for when you need a quick numeric sense or have to enter the value into a tool that expects decimals.

Improper fractions and mixed numbers

An improper fraction has a numerator larger than its denominator, like 7/4, while a mixed number combines a whole number with a proper fraction, like 1 3/4. They represent the same value in different forms, and which one you want depends on context: improper fractions are easier to compute with, while mixed numbers are easier to picture and are how measurements are usually spoken and written.

The calculator shows the result as a mixed number whenever the fraction is improper, so you can read the answer in the most natural form. This is especially handy for everyday tasks like scaling a recipe, where '1 and three-quarters cups' is far more useful than 'seven-quarters', even though the two are numerically identical.

Tips for working with fractions

• Keep values as fractions to avoid decimal rounding errors
• To divide by a fraction, multiply by its reciprocal (flip it)
• Reduce answers to lowest terms for the cleanest form
• Use the mixed-number output for recipes and measurements
• Convert to a decimal when a tool or form expects one

Why choose our fraction calculator?

Our calculator is completely free with no signup, no limits, and no subscription. It runs entirely in your browser, so results are instant, it works offline, and your numbers never leave your device.

It is one of more than 200 free tools on ToopTools, and you can pin it to your My Workspace, a personalized workspace where you keep the tools you use most in a single dashboard. Beside the ratio and percentage calculators, it covers exact fractional math in one place.

Common use cases

Students use the fraction calculator for math homework, checking their working on adding, subtracting, multiplying, and dividing fractions and seeing the simplified result. It is a reliable way to verify answers and understand the steps.

Cooks use it to scale recipes up or down, and people working in construction, sewing, and woodworking use it for measurements expressed in fractions of an inch. Anywhere exact parts-of-a-whole arithmetic is needed, the calculator delivers a simplified fraction plus its decimal and mixed-number forms.

Is the fraction calculator free?

Yes. It is completely free with no account, no sign-up, and no usage limits. Calculate as many fractions as you like at no cost.

How do I add two fractions?

Convert both fractions to a common denominator, add the numerators, and keep the denominator, then reduce. The calculator finds the common denominator and simplifies the result for you automatically.

How do I divide fractions?

Flip the second fraction and multiply. Dividing by a fraction is the same as multiplying by its reciprocal, so a ÷ b/c becomes a × c/b. The calculator handles this and simplifies the answer.

Does it simplify the answer?

Yes. Every result is reduced to its lowest terms by dividing the numerator and denominator by their greatest common divisor, and a mixed number is shown when the fraction is improper.

Can it show the decimal value?

Yes. Alongside the simplified fraction and mixed number, the calculator displays the decimal equivalent, so you can use whichever form your task requires.

How do I convert a mixed number to use here?

Convert the mixed number to an improper fraction first: multiply the whole number by the denominator, add the numerator, and keep the same denominator. For example, 1 3/4 becomes 7/4, which you can then enter directly.

Why is keeping fractions exact better than decimals?

Some values, like one third, cannot be written exactly as a decimal — 0.333… repeats forever — so any decimal is a rounded approximation. Working with fractions preserves the exact value and avoids the rounding errors that accumulate when you chain decimal calculations.

Are my calculations private?

Yes. Everything is computed in your browser and nothing is uploaded, so your numbers stay private and the tool works without an internet connection.

How do I multiply fractions?

Enter your two fractions and choose the multiply operation — the calculator multiplies the numerators and denominators, then simplifies the result to its lowest terms and shows the decimal equivalent. It handles addition, subtraction, and division the same way.

Does the fraction calculator work offline?

Yes. The calculation runs entirely in your browser, so once the page has loaded the tool works without an internet connection, and nothing you enter is uploaded — it stays private on your own device.