A worked example
Adding 1/2 and 1/3 gives 5/6 — found by converting both to sixths (3/6 and 2/6) before adding.
Frequently asked questions
Why do I need a common denominator to add fractions but not to multiply them?
Addition combines like-sized pieces, so the pieces (denominators) have to match first. Multiplication scales two fractions against each other directly — denominators multiply straight across without needing to match.
What does 'simplified to lowest terms' mean?
Dividing both the numerator and denominator by their greatest common factor, so the fraction is expressed with the smallest possible whole numbers — 4/8 and 1/2 represent the same value, but 1/2 is in lowest terms.