How it works
Every free dividing mixed numbers worksheet works in three steps: turn each mixed number into an improper fraction, flip the divisor, and multiply. The key on page 2 prints all three and the answer in lowest terms.
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Convert, flip, multiply
2 1/2 ÷ 1 1/4 becomes 5/2 ÷ 5/4, then 5/2 × 4/5 = 20/10 = 2. Start with Mixed ÷ mixed: halves and fourths, where the numbers stay small. Flip only after converting: the reciprocal of 1 1/4 is 4/5, not 1 4/1.
With a fraction or a whole number
Dividing by a fraction under 1 gives more: 2 1/4 ÷ 3/4 = 3. Dividing by more than 1 gives less: 3/4 ÷ 1 1/2 = 1/2. A whole number flips to 1 over itself, so 4 1/2 ÷ 3 = 9/2 × 1/3.
- Flipping 1 1/4 into 1 4/1 is the usual slip. Convert first, every time.
Questions and answers
How do you divide mixed numbers?
Change each mixed number to an improper fraction, flip the second, and multiply. 3 1/3 ÷ 1 1/2 = 10/3 × 2/3 = 20/9 = 2 2/9.
Is there a dividing fractions by mixed numbers worksheet?
Yes: Proper fraction ÷ mixed number puts the mixed number second, as in 3/4 ÷ 1 1/2 = 1/2. Whole number ÷ mixed number does the same with a whole number first.
What grade learns dividing mixed fractions?
In Common Core states, dividing fractions by fractions is grade 6, and mixed numbers come in as improper fractions. Pupils should already multiply mixed numbers from grade 5.