Printable math worksheet for practicing subtraction of mixed numbers with unlike denominators.

Let's solve each of these subtracting mixed numbers problems step by step. We'll convert the mixed numbers to improper fractions when needed, find common denominators, subtract, and simplify.

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a. $ 6\frac{1}{2} - 3\frac{7}{8} $

Convert both to improper fractions:

- $ 6\frac{1}{2} = \frac{13}{2} $
- $ 3\frac{7}{8} = \frac{31}{8} $

Find common denominator: LCM of 2 and 8 is 8.

- $ \frac{13}{2} = \frac{52}{8} $
- $ \frac{52}{8} - \frac{31}{8} = \frac{21}{8} $

Convert back: $ \frac{21}{8} = 2\frac{5}{8} $

✔ Answer: $ 2\frac{5}{8} $

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b. $ 9\frac{4}{5} - 5\frac{2}{3} $

Convert:

- $ 9\frac{4}{5} = \frac{49}{5} $
- $ 5\frac{2}{3} = \frac{17}{3} $

LCM of 5 and 3 is 15.

- $ \frac{49}{5} = \frac{147}{15} $
- $ \frac{17}{3} = \frac{85}{15} $
- $ \frac{147}{15} - \frac{85}{15} = \frac{62}{15} $

$ \frac{62}{15} = 4\frac{2}{15} $

✔ Answer: $ 4\frac{2}{15} $

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c. $ 7\frac{5}{6} - 2\frac{1}{3} $

Convert:

- $ 7\frac{5}{6} = \frac{47}{6} $
- $ 2\frac{1}{3} = \frac{7}{3} $

LCM of 6 and 3 is 6.

- $ \frac{7}{3} = \frac{14}{6} $
- $ \frac{47}{6} - \frac{14}{6} = \frac{33}{6} = \frac{11}{2} = 5\frac{1}{2} $

✔ Answer: $ 5\frac{1}{2} $

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d. $ 5\frac{7}{9} - 3\frac{1}{3} $

Convert:

- $ 5\frac{7}{9} = \frac{52}{9} $
- $ 3\frac{1}{3} = \frac{10}{3} = \frac{30}{9} $
- $ \frac{52}{9} - \frac{30}{9} = \frac{22}{9} = 2\frac{4}{9} $

✔ Answer: $ 2\frac{4}{9} $

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e. $ 8\frac{9}{12} - 3\frac{1}{4} $

Simplify $ \frac{9}{12} = \frac{3}{4} $, so $ 8\frac{9}{12} = 8\frac{3}{4} $

Now: $ 8\frac{3}{4} - 3\frac{1}{4} $

Same denominator: $ 8 - 3 = 5 $, $ \frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2} $

✔ Answer: $ 5\frac{1}{2} $

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f. $ 1\frac{1}{4} - \frac{7}{8} $

Convert $ 1\frac{1}{4} = \frac{5}{4} $

LCM of 4 and 8 is 8.

- $ \frac{5}{4} = \frac{10}{8} $
- $ \frac{10}{8} - \frac{7}{8} = \frac{3}{8} $

✔ Answer: $ \frac{3}{8} $

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g. $ 15\frac{3}{5} - 3\frac{1}{2} $

Convert:

- $ 15\frac{3}{5} = \frac{78}{5} $
- $ 3\frac{1}{2} = \frac{7}{2} $

LCM of 5 and 2 is 10.

- $ \frac{78}{5} = \frac{156}{10} $
- $ \frac{7}{2} = \frac{35}{10} $
- $ \frac{156}{10} - \frac{35}{10} = \frac{121}{10} = 12\frac{1}{10} $

✔ Answer: $ 12\frac{1}{10} $

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h. $ 3\frac{3}{8} - 2\frac{1}{4} $

Convert:

- $ 3\frac{3}{8} = \frac{27}{8} $
- $ 2\frac{1}{4} = \frac{9}{4} = \frac{18}{8} $
- $ \frac{27}{8} - \frac{18}{8} = \frac{9}{8} = 1\frac{1}{8} $

✔ Answer: $ 1\frac{1}{8} $

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i. $ 7\frac{1}{12} - 2\frac{1}{2} $

Convert:

- $ 7\frac{1}{12} = \frac{85}{12} $
- $ 2\frac{1}{2} = \frac{5}{2} = \frac{30}{12} $
- $ \frac{85}{12} - \frac{30}{12} = \frac{55}{12} = 4\frac{7}{12} $

✔ Answer: $ 4\frac{7}{12} $

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j. $ 19\frac{3}{4} - 12\frac{3}{10} $

Convert:

- $ 19\frac{3}{4} = \frac{79}{4} $
- $ 12\frac{3}{10} = \frac{123}{10} $

LCM of 4 and 10 is 20.

- $ \frac{79}{4} = \frac{395}{20} $
- $ \frac{123}{10} = \frac{246}{20} $
- $ \frac{395}{20} - \frac{246}{20} = \frac{149}{20} = 7\frac{9}{20} $

✔ Answer: $ 7\frac{9}{20} $

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k. $ 4\frac{2}{3} - 3\frac{1}{4} $

Convert:

- $ 4\frac{2}{3} = \frac{14}{3} $
- $ 3\frac{1}{4} = \frac{13}{4} $

LCM of 3 and 4 is 12.

- $ \frac{14}{3} = \frac{56}{12} $
- $ \frac{13}{4} = \frac{39}{12} $
- $ \frac{56}{12} - \frac{39}{12} = \frac{17}{12} = 1\frac{5}{12} $

✔ Answer: $ 1\frac{5}{12} $

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l. $ 5\frac{5}{6} - 3\frac{1}{3} $

Convert:

- $ 5\frac{5}{6} = \frac{35}{6} $
- $ 3\frac{1}{3} = \frac{10}{3} = \frac{20}{6} $
- $ \frac{35}{6} - \frac{20}{6} = \frac{15}{6} = \frac{5}{2} = 2\frac{1}{2} $

✔ Answer: $ 2\frac{1}{2} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| a | $ 2\frac{5}{8} $ |
| b | $ 4\frac{2}{15} $ |
| c | $ 5\frac{1}{2} $ |
| d | $ 2\frac{4}{9} $ |
| e | $ 5\frac{1}{2} $ |
| f | $ \frac{3}{8} $ |
| g | $ 12\frac{1}{10} $ |
| h | $ 1\frac{1}{8} $ |
| i | $ 4\frac{7}{12} $ |
| j | $ 7\frac{9}{20} $ |
| k | $ 1\frac{5}{12} $ |
| l | $ 2\frac{1}{2} $ |

Let me know if you'd like this formatted as a printable worksheet or need explanations for any specific steps!