Fraction Calculator
Add, subtract, multiply, and divide fractions.
First fraction
Whole number, then numerator over denominator.
Second fraction
Whole number, then numerator over denominator.
Result
712
Step by step
- 1Common denominator: 3 × 4 = 12
- 21/3 → 4/12
- 31/4 → 3/12
- 4Add the numerators: 4 + 3 = 7
How the Fraction Calculator works
Handles the four operations on fractions and mixed numbers, reduces the result to lowest terms, and shows the working. Mixed numbers are converted to improper fractions first, which is what makes the arithmetic straightforward.
Frequently asked questions
How do I add fractions with different denominators?
Find a common denominator, convert both fractions, then add the numerators. For 1/3 + 1/4, the common denominator is 12: 4/12 + 3/12 = 7/12. Multiplying the denominators always gives a workable common denominator, though not always the smallest.
How do I divide fractions?
Multiply by the reciprocal of the second fraction — flip it and multiply. 2/3 ÷ 4/5 becomes 2/3 × 5/4 = 10/12, which simplifies to 5/6.
How do I simplify a fraction?
Divide the numerator and denominator by their greatest common divisor. For 18/24 the GCD is 6, giving 3/4. This calculator simplifies every result automatically.
What is an improper fraction versus a mixed number?
An improper fraction has a numerator larger than its denominator, like 7/3. The same value as a mixed number is 2 1/3. Convert by dividing: 7 ÷ 3 is 2 remainder 1, so 2 and 1/3.