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: