Free Online Fraction Calculator
Do fraction arithmetic with step-by-step solutions
Result
13/12
Mixed number: 1 1/12
Decimal: 1.083333
Step-by-step
- Find LCD of 4 and 3: LCD = 12
- Convert: 3/4 = 9/12 and 1/3 = 4/12
- Add: 9 + 4 = 13, so result = 13/12
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Why use Fraction Calculator
- Step-by-step solution shows every intermediate calculation, so you learn the method rather than just copying an answer.
- Always simplifies via GCD -- you get the most reduced form without extra work.
- Triple display (simplified fraction, mixed number, decimal) covers every format a teacher or textbook might require.
How it works
For addition and subtraction, the calculator finds the LCD by computing the least common multiple of the denominators, scales each fraction, then operates on numerators. Multiplication crosses numerators and denominators directly. Division flips the second fraction (reciprocal) and multiplies. After every operation the result is simplified by dividing both numerator and denominator by their GCD, found using the Euclidean algorithm. Mixed-number conversion divides the numerator by the denominator; the quotient becomes the whole part and the remainder stays as the fractional part. The decimal is numerator / denominator, rounded to a reasonable number of places.
About this tool
Enter two fractions, pick an operation (add, subtract, multiply, or divide), and get the result three ways: simplified fraction, mixed number, and decimal. A step-by-step solution shows exactly how the answer was found -- LCD calculation, numerator conversion, the actual arithmetic, and final simplification via GCD. For addition and subtraction, the tool finds the least common denominator, converts both fractions, performs the operation on numerators, then simplifies. Multiplication crosses numerators and denominators. Division flips the second fraction and multiplies. Handles improper fractions, negatives, and mixed-number conversion. Input validation prevents division by zero and flags non-numeric entries before you submit.
How to use Fraction Calculator
- Enter two fractions. Type the numerator and denominator for each fraction in the input fields.
- Select the operation. Choose add, subtract, multiply, or divide from the operation picker.
- Read the result. See the answer as a simplified fraction, mixed number, and decimal -- plus the full step-by-step solution.
Use cases
- Doubling a recipe that calls for 2/3 cup of flour and 3/4 cup of sugar -- what is the combined measurement?
- Checking math homework against step-by-step solutions to find exactly where a mistake happened.
- Carpenter adding 5/8 inch and 3/16 inch to calculate a total cut length in fractional inches.
Frequently Asked Questions
Find the least common denominator (LCD), convert both fractions to have the LCD, add the numerators, and simplify. For example: 1/3 + 1/4 → 4/12 + 3/12 = 7/12.
Multiply the numerators together and the denominators together, then simplify. For example: 2/3 × 3/4 = 6/12 = 1/2. You can cross-cancel before multiplying to simplify early.
Multiply the first fraction by the reciprocal (flip) of the second. For example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.
A fraction where the numerator is larger than or equal to the denominator, like 7/4. Converts to the mixed number 1 3/4.
Divide both the numerator and denominator by their greatest common divisor (GCD). For example: 8/12 → GCD is 4 → 8÷4 / 12÷4 = 2/3.
Divide the numerator by the denominator. For example: 3/8 = 3 ÷ 8 = 0.375. Some fractions produce repeating decimals, like 1/3 = 0.333...
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