The fraction calculator adds, subtracts, multiplies, and divides fractions and mixed numbers. Get simplified results with step-by-step solutions showing the common denominator and each operation.
Fraction Calculator
For mixed numbers, enter both whole and fraction parts. For pure fractions, leave the whole number blank.
How to Use the Fraction Calculator
The fraction calculator performs all four arithmetic operations on fractions and mixed numbers, simplifying results automatically using the GCF.
Entering Mixed Numbers
For 2¾, enter 2 in the whole field, 3 in the numerator, and 4 in the denominator. For a pure fraction like ½, leave the whole number blank. For a whole number like 5, enter 5 in the whole field and leave the fraction blank.
Adding Fractions with Different Denominators
The calculator finds the LCD (least common denominator) automatically. For ⅓ + ¼: LCD = 12, so 4/12 + 3/12 = 7/12. The step-by-step solution shows each conversion.
Simplification
Results are always simplified to lowest terms. 6/12 becomes ½. Mixed numbers are expressed properly: 7/4 becomes 1¾. Negative fractions show the minus sign on the whole number or numerator.
FAQ
How do you add fractions with different denominators?
Find the LCM of the denominators (the LCD). Convert each fraction to have the LCD as denominator, then add the numerators. Example: 1/3 + 1/4 → LCD=12 → 4/12 + 3/12 = 7/12. Always simplify the result by dividing by the GCF of numerator and denominator.
How do you multiply fractions?
Multiply numerator × numerator and denominator × denominator. Then simplify. Example: (2/3) × (3/4) = 6/12 = 1/2. You can also cross-cancel before multiplying: factor out common factors from numerators and denominators diagonally.
Is this calculator free?
Yes, completely free with no signup required. All calculations run in your browser.
Is my data private?
Yes. All calculations run locally. Nothing is transmitted.
How do you convert a mixed number to an improper fraction?
Multiply the whole number by the denominator, then add the numerator. Example: 2¾ = (2×4 + 3)/4 = 11/4. To divide: convert both mixed numbers to improper fractions, then multiply the first by the reciprocal of the second.