Combine two fractions with clear step-by-step math. The answer is automatically simplified so you get the lowest-terms result and decimal equivalent.
Type the numerator and denominator for each fraction, then choose an operation.
How to use Fraction Calculator, plus the formulas and logic behind the results.
The Fraction Calculator adds, subtracts, multiplies, and divides two fractions. Results are simplified to lowest terms and also shown as a decimal.
Add: a/b + c/d = (ad + bc) / bdSubtract: a/b − c/d = (ad − bc) / bdMultiply: (a/b) × (c/d) = ac / bdDivide: (a/b) ÷ (c/d) = (a/b) × (d/c) = ad / bcSimplify by dividing numerator and denominator by gcd(|n|, |d|)Fraction operation tips
Operations use integer arithmetic on numerators and denominators. The result is reduced with the greatest common divisor, and the sign is normalized so the denominator is positive when possible.
This tool uses whole-number numerators and denominators. Mixed numbers should be converted to improper fractions first.
Common questions about this calculator and how to use the results.
A fraction calculator is an online tool that helps you perform calculations with fractions. It can add, subtract, multiply, and divide fractions, as well as simplify results and convert fractions into decimals or percentages.
Enter the numerator and denominator of each fraction, select the mathematical operation you want to perform, and calculate the result. The fraction calculator will display the answer, usually in simplified form.
To add fractions with different denominators, first find a common denominator. Convert each fraction to an equivalent fraction with that denominator, add the numerators, and simplify the result.
To subtract fractions, find a common denominator, convert the fractions if necessary, subtract the numerators, and then simplify the resulting fraction. A fraction calculator can perform these steps automatically.
To multiply fractions, multiply the numerators together and multiply the denominators together. The resulting fraction should then be simplified to its lowest terms.
To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction. Then multiply the numerators and denominators and simplify the result.
To simplify a fraction, divide the numerator and denominator by their greatest common factor. For example, 8/12 can be simplified to 2/3 because both numbers can be divided by 4.
To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/4 equals 0.75. A fraction calculator can convert the fraction automatically.
To convert a decimal to a fraction, write the decimal as a fraction based on its number of decimal places and then simplify it. For example, 0.75 can be written as 75/100 and simplified to 3/4.
To convert a fraction to a percentage, divide the numerator by the denominator and multiply the result by 100. For example, 3/4 is equal to 75%.
Yes. A fraction calculator can be used to calculate with mixed numbers by converting them to improper fractions before performing the calculation. The final result can then be displayed as a simplified fraction or mixed number.
A proper fraction has a numerator smaller than its denominator, such as 3/5. An improper fraction has a numerator equal to or greater than its denominator, such as 7/5. An improper fraction can also be expressed as a mixed number.