Fraction Calculator
Add, subtract, multiply, and divide fractions instantly — with simplified results and step-by-step explanations.
Fraction Calculator – Master Fractions Instantly
Fractions are one of the most important and often most misunderstood areas of mathematics. This free Fraction Calculator handles all four arithmetic operations — addition, subtraction, multiplication, and division — with clean, simplified results and detailed step-by-step explanations to help you learn as you calculate.
How to Add Fractions
To add two fractions, you need a common denominator. Find the LCM of both denominators, convert each fraction, then add the numerators. Finally, simplify the result using the GCD. For example: 1/3 + 1/4 → common denominator 12 → 4/12 + 3/12 = 7/12.
How to Subtract Fractions
Subtraction follows the same process as addition — find the common denominator, adjust numerators, then subtract. Example: 3/4 − 1/6 → common denominator 12 → 9/12 − 2/12 = 7/12.
How to Multiply Fractions
Multiplying fractions is simpler: multiply numerators together, multiply denominators together, then simplify. Example: 2/3 × 3/5 = 6/15 = 2/5.
How to Divide Fractions
To divide fractions, multiply the first fraction by the reciprocal of the second (flip the second fraction). Example: 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8.
Simplifying Fractions (Lowest Terms)
A fraction is in its simplest form when the numerator and denominator share no common factors other than 1. To simplify, divide both by their Greatest Common Divisor (GCD). This calculator always returns results in simplified form.
Frequently Asked Questions
What is an improper fraction?
An improper fraction has a numerator larger than its denominator (e.g., 7/4). The calculator handles these correctly and can display results as decimals too.
Can I enter negative fractions?
Yes. Enter a negative numerator (e.g., −3) to represent a negative fraction. The calculator handles all sign combinations correctly.