How do you add fractions with different denominators?

To add fractions with different denominators, find the LCM of the denominators, convert each fraction to that denominator, then add the numerators. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

How do you multiply fractions?

To multiply fractions, multiply the numerators together and the denominators together. Then simplify the result. For example, 2/3 × 3/4 = 6/12 = 1/2.

How do you divide fractions?

To divide fractions, multiply the first fraction by the reciprocal of the second. For example, 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.

Fraction Calculator

Add, subtract, multiply and divide fractions instantly with step-by-step solutions. Results auto-simplified to lowest terms with decimal and mixed number conversion.

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Fraction Calculator

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Free Fraction Calculator with Step-by-Step Solution

Our fraction calculator handles all four arithmetic operations — addition, subtraction, multiplication and division — for any two fractions. Results are automatically simplified to the lowest terms using the Greatest Common Divisor (GCD). The decimal equivalent and mixed number form are also shown for complete understanding.

Fraction Operations — Quick Reference

Operation	Rule	Example
Addition	Find LCM of denominators, then add numerators	1/3 + 1/4 = 4/12 + 3/12 = 7/12
Subtraction	Find LCM of denominators, then subtract numerators	3/4 − 1/3 = 9/12 − 4/12 = 5/12
Multiplication	Multiply numerators × numerators, denominators × denominators	2/3 × 3/4 = 6/12 = 1/2
Division	Multiply first fraction by reciprocal of second	2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6

Frequently Asked Questions

How do you simplify a fraction?

Find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by the GCD. For example, 6/12 — GCD is 6 — so 6÷6 / 12÷6 = 1/2.

What is LCM and why is it needed for adding fractions?

LCM (Least Common Multiple) is the smallest number divisible by both denominators. When adding or subtracting fractions, both fractions must have the same denominator — the LCM — before you can add the numerators.

What is a mixed number?

A mixed number has a whole number part and a fraction part, like 2½. If the result numerator is larger than the denominator (an improper fraction like 5/2), our calculator automatically converts it to mixed number form.

Is this fraction calculator free?

Yes, 100% free. No account required. All calculations happen instantly in your browser.