Fraction Calculator
Add, subtract, multiply, and divide fractions and mixed numbers. Results are automatically simplified to lowest terms.
Add, subtract, multiply, and divide fractions and mixed numbers. Results are automatically simplified to lowest terms.
To add or subtract fractions, they must share a common denominator. You find the least common denominator, convert each fraction so it uses that denominator, then add or subtract the numerators while keeping the denominator the same. For example, 1/3 + 1/4 becomes 4/12 + 3/12 = 7/12. Finally, simplify the result if possible. This calculator handles every step automatically, including finding the common denominator and reducing the answer, so you get a correct, fully simplified fraction without manual arithmetic.
Multiplying fractions is straightforward: multiply the numerators together and the denominators together, then simplify, so 2/3 × 3/5 = 6/15, which reduces to 2/5. To divide, you multiply the first fraction by the reciprocal of the second, meaning you flip the divisor and then multiply. For instance, 1/2 ÷ 1/4 becomes 1/2 × 4/1 = 2. The calculator performs both operations and presents the answer in lowest terms.
Simplifying, or reducing, a fraction means dividing the numerator and denominator by their greatest common divisor so the fraction is expressed in its smallest equivalent form. For example, 8/12 simplifies to 2/3 because both numbers share a factor of 4. Simplified fractions are easier to read and compare, and most mathematical work expects answers in lowest terms. The calculator always returns the simplified result automatically.
Yes. A mixed number, such as 2 1/2, combines a whole number and a fraction. The calculator can work with mixed numbers by converting them to improper fractions internally, performing the operation, and then presenting the result clearly. This is useful for everyday tasks like cooking, woodworking, and measurements, where mixed numbers are common and manual conversion can be error-prone.
To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/4 equals 3 ÷ 4 = 0.75. Some fractions produce repeating decimals, such as 1/3 = 0.333..., which never terminates. Converting between fractions and decimals is helpful when you need to compare values or enter them into other tools, and the calculator can display results in whichever form is most convenient.