Dividing Fractions Practice
20 questions · 60 seconds · divide by flipping the second fraction
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Make keep, change, flip a reflex: dividing fractions by keeping the first fraction, changing ÷ to ×, and flipping the second. Twenty questions in sixty seconds turns the three-step chant into a single fluid move — flip, multiply straight across, simplify.
Division by a fraction is the operation students trust least, because the answers feel backwards: 1/2 ÷ 1/4 = 2, bigger than either fraction. The intuition — "how many quarters fit in a half?" — makes the answer obvious, and this drill pairs that intuition with enough repetition to make the mechanics automatic.
Tips That Make It Stick
- Keep, change, flip — in that order. Keep 1/2, change ÷ to ×, flip 1/4 into 4/1: 1/2 × 4/1 = 4/2 = 2. Only the SECOND fraction flips — flipping the first is the classic slip.
- Read it as "how many fit?". 3/4 ÷ 1/8 asks how many eighths fit in three quarters. Six do. When answers feel wrong, the fitting question sets intuition straight.
- Simplify at the end. Answers are in lowest terms: 4/2 must become 2, and 6/8 must become 3/4. Flip-multiply is only two-thirds of the skill.
Frequently Asked Questions
Why does keep-change-flip work?
Dividing by a number is the same as multiplying by its reciprocal — dividing by 2 is multiplying by 1/2, and dividing by 1/4 is multiplying by 4. Flipping the second fraction is just writing down its reciprocal.
Why is the answer bigger when I divide by a fraction?
Because division asks how many times the divisor fits. Small pieces fit many times: a half contains two quarters, so 1/2 ÷ 1/4 = 2. Dividing by anything less than 1 always gives an answer bigger than what you started with.
What grade divides fractions?
Dividing a fraction by a fraction is a 6th grade standard (5th grade introduces dividing with unit fractions). This drill matches that range, with mixed numbers available in game settings.
📝 Matching Printable Worksheets
Prefer paper practice? These free PDF worksheets cover the same skill — each includes an answer key: