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Dividing fractions worksheets
18 dividing fractions problems (two fractions), denominators up to 12 · 1 page + answer key
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Eighteen problems dividing one fraction by another, like 3/4 ÷ 2/5. The answer key gives each quotient in simplest form, as a mixed number when it's greater than 1 (3/4 ÷ 2/5 = 15/8 = 1 7/8). In the Common Core standards, dividing a fraction by a fraction is a 6th grade skill; 5th graders divide unit fractions by whole numbers, which you can choose with Numbers above.
The shortcut is multiply by the reciprocal: keep the first fraction, change ÷ to ×, flip the second. It's worth also asking what the problem means: 3/4 ÷ 1/4 asks how many quarters fit in three quarters (3).
Tips for using it
- Keep, change, flip: 2/3 ÷ 4/5 becomes 2/3 × 5/4.
- Ask whether the answer should be bigger or smaller than the first fraction before solving.
Variations
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Questions
Why do you flip the second fraction?
Dividing by a number is the same as multiplying by its reciprocal. Dividing by 1/4 asks how many quarters fit, and there are 4 quarters in every whole, so you multiply by 4.
What grade learns dividing fractions?
5th graders divide unit fractions by whole numbers and whole numbers by unit fractions. Dividing a fraction by a fraction is 6th grade.