Fraction division practice — invert and multiply — with answers reduced, mixed numbers optional and denominators small enough to keep the arithmetic in sight.
Grade 5–Grade 7 · every refresh draws a new set · answer key included
Dividing fractions worksheets
Divide. Give each answer in its simplest form.
Dividing fractions worksheets — answer key
Divide. Give each answer in its simplest form.
16 problems · US Letter · answer key — 2 sheets, page breaks marked in the preview
Dividing by a fraction is the step where pupils stop reasoning and start following a rule: turn the second fraction upside down and multiply. The rule works, and it is worth practising until it is automatic, but it is also worth pairing with one question a lesson that asks why — how many quarters are in three halves is a question a child can answer with a drawing, and the answer is the same six the rule produces. This page provides the drill; the drawing is your job.
Grade 5 to Grade 7, ages ten to thirteen. It comes after multiplication is secure, because the rule converts every division into a multiplication. Mixed numbers belong at the end of that sequence.
Keep the denominators small at first — the arithmetic after inverting is a multiplication, and if the products run into three digits the fraction work disappears behind them. Once the rule is automatic, raise the limit and switch on mixed numbers, which force the conversion to improper fractions before anything else can happen.
Inverting the wrong fraction is the commonest error and produces an answer that looks plausible, which is what makes it dangerous. The second is inverting and then still trying to find a common denominator. With mixed numbers, the classic fault is inverting before converting to an improper fraction, which gives nonsense — worth catching early, because pupils rarely spot it themselves.