Fraction Calculator
Calculate with fractions: add, subtract, multiply, and divide fractions. Simplify fractions and convert to decimals or mixed numbers.
6 values
Mean (Average)
24
Median
18.5
Sum
144
Count
6
Min
8
Max
47
About the Fraction Calculator
Fraction arithmetic is a foundational mathematical skill used in cooking, construction, finance, and everyday problem-solving — and also one of the most commonly searched math topics online. Our fraction calculator handles all four operations (add, subtract, multiply, divide) for both simple fractions and mixed numbers, showing step-by-step solutions and simplifying results automatically.
Formula
Add/Subtract: find LCD → a/LCD ± b/LCD | Multiply: (a×c)/(b×d) | Divide: (a/b)×(d/c)
How It Works
Addition/subtraction: find the LCD (lowest common denominator), convert both fractions, add or subtract numerators. Multiplication: multiply numerators together and denominators together, then simplify. Division: multiply the first fraction by the reciprocal of the second. Simplification uses the GCF (greatest common factor) of numerator and denominator. For example: 3/4 + 1/6 = 9/12 + 2/12 = 11/12.
Tips & Best Practices
- ✓To add fractions, you MUST have a common denominator — you cannot add numerators directly.
- ✓Simplify fractions by dividing numerator and denominator by their GCF.
- ✓Mixed numbers: convert to improper fractions before operating (2¾ = 11/4).
- ✓Fractions with the same denominator are called like fractions and are easiest to add/subtract.
- ✓Dividing fractions: keep-change-flip (keep first fraction, change ÷ to ×, flip second fraction).
Who Uses This Calculator
Students working through school fractions homework, bakers scaling recipes (¾ of 2/3 cup), woodworkers calculating measurements in fractional inches, and engineers dealing with tolerances and ratios all use fraction arithmetic constantly.
Optimised for: USA · Canada · UK · Australia · Calculations run in your browser · No data stored
Frequently Asked Questions
How do you add fractions?
Find a common denominator, convert fractions, then add numerators. Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12.