Add, subtract, multiply and divide fractions. Free fraction calculator.
This fractions tool lets you add, subtract, multiply, and divide fractions. It is designed for speed and accuracy, running entirely in your browser with no data sent to any server. Whether you are a student, professional, or simply need a quick answer, this calculator provides instant results with clear explanations. The calculator finds the least common denominator for addition and subtraction, cross-multiplies for comparison, and simplifies all results to their lowest terms using the greatest common divisor.
The calculator finds the least common denominator for addition and subtraction, cross-multiplies for comparison, and simplifies all results to their lowest terms using the greatest common divisor.
Students solve homework problems involving fraction arithmetic. Teachers create practice worksheets with instant answer checking. Carpenters calculate material measurements that involve fractional inches. Home cooks adjust recipe quantities that use fractional measurements. Engineers verify hand calculations during design work.
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Find the least common denominator (LCD) of both fractions. Multiply each fraction's numerator and denominator to create equivalent fractions with the LCD. Then add the numerators and keep the LCD as the denominator. Simplify the result if possible.
An improper fraction has a numerator larger than its denominator, such as 7/4. It represents a value greater than 1. To convert to a mixed number, divide the numerator by the denominator: 7 divided by 4 equals 1 remainder 3, so 7/4 = 1 and 3/4.
Multiply the numerators together and the denominators together. For example, 2/3 times 4/5 equals 8/15. Unlike addition, you do not need a common denominator for multiplication. Simplify the result by dividing both parts by their greatest common divisor.
Count the decimal places and use that power of 10 as the denominator. For example, 0.75 has two decimal places, so it becomes 75/100, which simplifies to 3/4. For repeating decimals, algebraic methods are needed.
Simplifying means dividing both the numerator and denominator by their greatest common divisor (GCD) until no further reduction is possible. For example, 12/18: the GCD of 12 and 18 is 6, so 12/18 simplifies to 2/3.