Practice dividing mixed numbers with this printable math worksheet.

You’ve uploaded a worksheet titled “Divide Mixed Numbers by Mixed Numbers”. To solve these problems, we follow a standard procedure:

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## ✔ Step-by-Step Method to Divide Mixed Numbers:

1. Convert each mixed number to an improper fraction.
2. Rewrite the division as multiplication by the reciprocal (flip the second fraction).
3. Multiply the numerators and denominators.
4. Simplify the result (reduce and/or convert back to a mixed number if needed).

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Let’s solve each problem one by one.

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1. $ 2\frac{2}{5} \div 3\frac{1}{3} $

- Convert:
$ 2\frac{2}{5} = \frac{12}{5} $
$ 3\frac{1}{3} = \frac{10}{3} $

- Flip and multiply:
$ \frac{12}{5} \times \frac{3}{10} = \frac{36}{50} $

- Simplify:
$ \frac{36}{50} = \frac{18}{25} $

✔ Answer: $ \frac{18}{25} $

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2. $ 4\frac{1}{2} \div 4\frac{1}{2} $

- Convert:
$ 4\frac{1}{2} = \frac{9}{2} $

- So:
$ \frac{9}{2} \div \frac{9}{2} = \frac{9}{2} \times \frac{2}{9} = \frac{18}{18} = 1 $

✔ Answer: $ 1 $

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3. $ 4\frac{1}{3} \div 3\frac{1}{4} $

- Convert:
$ 4\frac{1}{3} = \frac{13}{3} $
$ 3\frac{1}{4} = \frac{13}{4} $

- Flip and multiply:
$ \frac{13}{3} \times \frac{4}{13} = \frac{52}{39} $

- Simplify:
$ \frac{52}{39} = \frac{4}{3} = 1\frac{1}{3} $

✔ Answer: $ 1\frac{1}{3} $

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4. $ 2\frac{1}{2} \div 4\frac{3}{5} $

- Convert:
$ 2\frac{1}{2} = \frac{5}{2} $
$ 4\frac{3}{5} = \frac{23}{5} $

- Flip and multiply:
$ \frac{5}{2} \times \frac{5}{23} = \frac{25}{46} $

- Already simplified.

✔ Answer: $ \frac{25}{46} $

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5. $ 4\frac{1}{5} \div 3\frac{1}{5} $

- Convert:
$ 4\frac{1}{5} = \frac{21}{5} $
$ 3\frac{1}{5} = \frac{16}{5} $

- Flip and multiply:
$ \frac{21}{5} \times \frac{5}{16} = \frac{105}{80} $

- Simplify:
$ \frac{105}{80} = \frac{21}{16} = 1\frac{5}{16} $

✔ Answer: $ 1\frac{5}{16} $

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6. $ 3\frac{2}{3} \div 2\frac{1}{2} $

- Convert:
$ 3\frac{2}{3} = \frac{11}{3} $
$ 2\frac{1}{2} = \frac{5}{2} $

- Flip and multiply:
$ \frac{11}{3} \times \frac{2}{5} = \frac{22}{15} $

- Convert to mixed number:
$ \frac{22}{15} = 1\frac{7}{15} $

✔ Answer: $ 1\frac{7}{15} $

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7. $ 4\frac{1}{3} \div 4\frac{3}{5} $

- Convert:
$ 4\frac{1}{3} = \frac{13}{3} $
$ 4\frac{3}{5} = \frac{23}{5} $

- Flip and multiply:
$ \frac{13}{3} \times \frac{5}{23} = \frac{65}{69} $

- Already simplified.

✔ Answer: $ \frac{65}{69} $

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8. $ 2\frac{1}{2} \div 2\frac{4}{5} $

- Convert:
$ 2\frac{1}{2} = \frac{5}{2} $
$ 2\frac{4}{5} = \frac{14}{5} $

- Flip and multiply:
$ \frac{5}{2} \times \frac{5}{14} = \frac{25}{28} $

- Already simplified.

✔ Answer: $ \frac{25}{28} $

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## 📝 Final Answers Summary:

1. $ 2\frac{2}{5} \div 3\frac{1}{3} = \boxed{\frac{18}{25}} $

2. $ 4\frac{1}{2} \div 4\frac{1}{2} = \boxed{1} $

3. $ 4\frac{1}{3} \div 3\frac{1}{4} = \boxed{1\frac{1}{3}} $

4. $ 2\frac{1}{2} \div 4\frac{3}{5} = \boxed{\frac{25}{46}} $

5. $ 4\frac{1}{5} \div 3\frac{1}{5} = \boxed{1\frac{5}{16}} $

6. $ 3\frac{2}{3} \div 2\frac{1}{2} = \boxed{1\frac{7}{15}} $

7. $ 4\frac{1}{3} \div 4\frac{3}{5} = \boxed{\frac{65}{69}} $

8. $ 2\frac{1}{2} \div 2\frac{4}{5} = \boxed{\frac{25}{28}} $

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Let me know if you’d like a printable version or step-by-step work shown in a different format! 😊