Fraction Calculator
Add, subtract, multiply, and divide fractions | step-by-step overview.
Guide: Fraction Calculator
Working with fractions means handling numerators and denominators consistently. Add or subtract after finding a common denominator; multiply numerators and denominators directly; invert and multiply for division. Fractions survive in recipes, construction measurements, and probability because they preserve exact ratios better than repeating decimals on a phone screen.
Why common denominators matter
You cannot add fifths and thirds until you express both with the same denominator. The least common multiple of denominators keeps numbers smaller.
After operations, simplify by dividing numerator and denominator by their greatest common divisor so answers stay readable.
Mixed numbers and improper fractions
Mixed numbers combine a whole part and a proper fraction. Converting to improper form often makes algebra cleaner before you multiply or divide.
Cross-multiplication sanity
Testing equality a/b = c/d by checking ad = bc is valid for nonzero denominators and helps verify homework without a tool.