Add, subtract, multiply, and divide fractions. Results are automatically simplified to the lowest terms and shown as both fraction and decimal.
This tool performs arithmetic operations (addition, subtraction, multiplication, division) on fractions and simplifies the results to their lowest terms. It's useful for math homework, cooking measurement conversions, and any calculation involving parts of a whole.
Addition/Subtraction: find a common denominator, then add or subtract numerators. Multiplication: multiply numerators together and denominators together. Division: multiply the first fraction by the reciprocal of the second. Results are simplified by dividing both numerator and denominator by their GCF.
Enter two fractions and select the operation (add, subtract, multiply, or divide), and the calculator returns the simplified result.
Example 1: 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
Example 2: 2/3 × 3/4 = 6/12 = 1/2 (simplified).
Why do you need a common denominator to add or subtract fractions? Fractions represent parts of a whole, and you can only directly add or subtract parts that are divided into the same-sized pieces — a common denominator ensures both fractions are expressed in matching-sized units.
Why does dividing fractions involve flipping the second one? Dividing by a fraction is mathematically equivalent to multiplying by its reciprocal (flipped version), which is a shortcut that avoids more complex division steps.
What does it mean to simplify a fraction? Simplifying means reducing a fraction to its smallest equivalent form by dividing both the numerator and denominator by their greatest common factor, making the fraction easier to read and work with.
How do I convert a mixed number to work with in calculations? Convert a mixed number (like 2½) to an improper fraction first by multiplying the whole number by the denominator and adding the numerator (2½ becomes 5/2), then perform calculations normally.
Why are fractions important in everyday life? Fractions appear constantly in cooking measurements, construction and carpentry, financial calculations, and any situation involving dividing something into equal parts.