➗ Free Fraction Calculator

Our free fraction calculator helps you add, subtract, multiply, and divide fractions in seconds. Simply enter two fractions, choose an operation, and the tool instantly computes the result in simplified form. It also shows the step-by-step process so you can learn how the calculation was performed. Whether you are a student working on math homework, a teacher preparing lesson materials, or someone who needs to work with fractions in cooking, construction, or budgeting, this fraction math tool makes it easy. Every calculation runs locally in your browser — no data is uploaded anywhere.

Fraction arithmetic follows specific rules depending on the operation. Our online fraction calculator applies these formulas automatically:

Addition & Subtraction

Multiplication & Division

After computing the result, the tool simplifies the fraction by dividing both the numerator and denominator by their Greatest Common Divisor (GCD). If you toggle off auto-simplify, the result is shown in its raw form.

Common fraction-to-decimal conversions for quick reference:

1. Enter the first fraction — Type the numerator and denominator for Fraction 1 into the input fields.
2. Choose an operator — Select +, −, ×, or ÷ from the dropdown menu depending on the operation you want to perform.
3. Enter the second fraction — Type the numerator and denominator for Fraction 2.
4. Toggle simplification — Leave the checkbox checked to automatically reduce the result to its simplest form, or uncheck it to see the raw result.
5. Click Calculate — The tool displays the fraction result in simplified form, the decimal equivalent, and a complete step-by-step breakdown of the calculation.

How do you add fractions with different denominators?

To add fractions with different denominators, first find a common denominator (the product of both denominators works). Then adjust each numerator: a/b + c/d = (a×d + b×c) / (b×d). Finally, simplify the result by dividing by the GCD. Ourfraction addition calculatorhandles all of this automatically.

What does "simplify" mean?

Simplifying a fraction means reducing it to its lowest terms by dividing both the numerator and denominator by their Greatest Common Divisor (GCD). For example, 4/8 simplifies to 1/2 because the GCD of 4 and 8 is 4. The simplified fraction has the same value but uses smaller numbers.

Can I use this for improper fractions?

Yes, absolutely. Thisfree fraction calculatorhandles proper fractions (numerator < denominator), improper fractions (numerator > denominator), and mixed numbers entered as fractions. Improper fractions are shown in their simplified form.

Is this tool free?

Yes, completely free. No sign-ups and no data collection. Everything runs in your browser.

How do I simplify a fraction?

To simplify a fraction, find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by it. For example, 8/12: the GCD of 8 and 12 is 4, so divide both by 4 to get 2/3. A fraction is fully simplified when the numerator and denominator share no common factors other than 1. This calculator's "Simplify result automatically" checkbox does this for you. For finding GCD manually, try ourLCM and GCD Calculator.

How do I convert a fraction to a decimal?

Divide the numerator by the denominator: 3/4 = 3 ÷ 4 = 0.75. Some fractions produce repeating decimals: 1/3 = 0.333..., 2/3 = 0.666..., 1/7 = 0.142857142857... Terminating decimals occur when the denominator's only prime factors are 2 and 5 (like 4, 5, 8, 10, 20, 25, 50, 100). For quick conversions, use the fraction table above or this calculator, which shows the decimal equivalent alongside the fractional result.

What is the least common denominator (LCD)?

The LCD (also called LCM — Least Common Multiple) is the smallest number that two or more denominators divide into evenly. For 1/4 and 1/6, the LCD is 12 (the smallest number both 4 and 6 divide into). You use the LCD to add or subtract fractions with different denominators: convert each fraction to have 12 as the denominator (3/12 and 2/12), then add or subtract the numerators. Finding the LCD quickly requires knowing your multiplication tables or using prime factorization.

How do I divide fractions?

To divide fractions, multiply the first fraction by the reciprocal (flipped version) of the second. For example, 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12, which simplifies to 5/6. Remember: "Keep, Change, Flip" — keep the first fraction, change the division sign to multiplication, and flip the second fraction. Division by zero is undefined — you cannot divide by a fraction whose numerator is 0 (though dividing 0 by any non-zero fraction gives 0).

When working with fractions, always check whether your denominator is zero — division by zero is undefined. Our tool validates inputs before calculating. For best results when learning fraction arithmetic, toggle on the step-by-step display to see each intermediate calculation. This makes the fraction calculator a great study aid for students mastering fraction operations. If you are working with mixed numbers (like 2 1/2), convert them to improper fractions first by multiplying the whole number by the denominator and adding the numerator.