Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step solution shown.
How to use Fraction Calculator
Frequently Asked Questions
How do you find a common denominator to add fractions?
To add fractions with different denominators, find the Least Common Multiple (LCM) of both denominators. For 1/3 + 1/4: LCM of 3 and 4 is 12. Convert 1/3 to 4/12 (multiply top and bottom by 4) and 1/4 to 3/12 (multiply by 3). Now add: 4/12 + 3/12 = 7/12. The calculator shows each step including the LCM calculation.
How do you multiply fractions?
To multiply fractions: multiply numerators together and multiply denominators together. Example: 2/3 x 3/5 = (2x3)/(3x5) = 6/15. Then simplify by dividing by GCD: 6/15 = 2/5. For mixed numbers, convert to improper fractions first. Multiplication does not require a common denominator — it is the simplest fraction operation.
How do you divide fractions?
To divide fractions: multiply the first fraction by the reciprocal (flipped version) of the second fraction. Example: 2/3 divided by 3/4 becomes 2/3 x 4/3 = 8/9. The phrase "keep, change, flip" helps remember: keep the first fraction, change division to multiplication, flip the second fraction. This works because dividing by a number is the same as multiplying by its inverse.
How do you simplify a fraction?
To simplify a fraction to its lowest terms, divide both numerator and denominator by their Greatest Common Divisor (GCD). For 12/18: GCD of 12 and 18 is 6. 12/6 = 2 and 18/6 = 3, so 12/18 = 2/3. The calculator performs this automatically and shows the GCD used. A fraction is fully simplified when the GCD equals 1.
How do you convert a mixed number to an improper fraction?
For a mixed number like 2 and 3/4: multiply the whole number by the denominator (2 x 4 = 8), then add the numerator (8 + 3 = 11). The result is 11/4. To go back: divide numerator by denominator (11 divided by 4 = 2 remainder 3), giving 2 and 3/4. The calculator accepts mixed numbers and converts automatically for calculation.
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