Fractions — Topic Guide
A plain-language explanation of fractions, with a worked example — plus a link straight into the generator to create a fresh, printable practice sheet.
Ready to practice fractions?
Generate a new, randomized worksheet with an answer key, or take it as an instant-graded online quiz.
What a fraction means
A fraction represents a part of a whole. The bottom number (denominator) shows how many equal parts the whole is divided into; the top number (numerator) shows how many of those parts you have.
Simplifying a fraction
Divide the numerator and denominator by their greatest common factor until no common factor remains other than 1.
Greatest common factor of 8 and 12 is 4
8 ÷ 4 = 2, and 12 ÷ 4 = 3
Answer: 2/3
Adding fractions with unlike denominators
You can only add fractions once they share a common denominator. Multiply each fraction so both denominators match, add the numerators, then simplify.
Common denominator: 12 → 3/12 + 2/12
3/12 + 2/12 = 5/12 (already simplest form)
Common mistakes
The most common error is adding numerators and denominators straight across (1/4 + 1/6 ≠ 2/10) instead of finding a common denominator first.
Where fractions show up next
Fraction fluency directly supports ratios, percentages, and later algebra, where fractional coefficients appear constantly.