Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable

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

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1) $ 6\frac{1}{4} - 4\frac{1}{2} $

Convert to improper fractions:
- $ 6\frac{1}{4} = \frac{25}{4} $
- $ 4\frac{1}{2} = \frac{9}{2} $

Common denominator: 4
- $ \frac{9}{2} = \frac{18}{4} $

Now subtract:
- $ \frac{25}{4} - \frac{18}{4} = \frac{7}{4} = 1\frac{3}{4} $

✔ Answer: $ 1\frac{3}{4} $

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2) $ 9\frac{1}{2} - 1\frac{1}{4} $

Convert:
- $ 9\frac{1}{2} = \frac{19}{2} $
- $ 1\frac{1}{4} = \frac{5}{4} $

Common denominator: 4
- $ \frac{19}{2} = \frac{38}{4} $

Subtract:
- $ \frac{38}{4} - \frac{5}{4} = \frac{33}{4} = 8\frac{1}{4} $

✔ Answer: $ 8\frac{1}{4} $

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3) $ 11\frac{3}{4} - 7\frac{1}{4} $

Same denominator (4), so subtract whole and fraction parts:
- $ 11 - 7 = 4 $
- $ \frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2} $

So: $ 4 + \frac{1}{2} = 4\frac{1}{2} $

✔ Answer: $ 4\frac{1}{2} $

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4) $ 7\frac{1}{4} - 5\frac{5}{16} $

Convert:
- $ 7\frac{1}{4} = \frac{29}{4} $
- $ 5\frac{5}{16} = \frac{85}{16} $

Common denominator: 16
- $ \frac{29}{4} = \frac{116}{16} $

Subtract:
- $ \frac{116}{16} - \frac{85}{16} = \frac{31}{16} = 1\frac{15}{16} $

✔ Answer: $ 1\frac{15}{16} $

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5) $ 7\frac{1}{2} - 5\frac{3}{8} $

Convert:
- $ 7\frac{1}{2} = \frac{15}{2} $
- $ 5\frac{3}{8} = \frac{43}{8} $

Common denominator: 8
- $ \frac{15}{2} = \frac{60}{8} $

Subtract:
- $ \frac{60}{8} - \frac{43}{8} = \frac{17}{8} = 2\frac{1}{8} $

✔ Answer: $ 2\frac{1}{8} $

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6) $ 7\frac{9}{16} - 3\frac{3}{4} $

Convert:
- $ 7\frac{9}{16} = \frac{121}{16} $
- $ 3\frac{3}{4} = \frac{15}{4} = \frac{60}{16} $

Subtract:
- $ \frac{121}{16} - \frac{60}{16} = \frac{61}{16} = 3\frac{13}{16} $

✔ Answer: $ 3\frac{13}{16} $

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7) $ 5\frac{13}{16} - 2\frac{1}{8} $

Convert:
- $ 5\frac{13}{16} = \frac{93}{16} $
- $ 2\frac{1}{8} = \frac{17}{8} = \frac{34}{16} $

Subtract:
- $ \frac{93}{16} - \frac{34}{16} = \frac{59}{16} = 3\frac{11}{16} $

✔ Answer: $ 3\frac{11}{16} $

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8) $ 4\frac{3}{8} - 2\frac{1}{2} $

Convert:
- $ 4\frac{3}{8} = \frac{35}{8} $
- $ 2\frac{1}{2} = \frac{5}{2} = \frac{20}{8} $

Subtract:
- $ \frac{35}{8} - \frac{20}{8} = \frac{15}{8} = 1\frac{7}{8} $

✔ Answer: $ 1\frac{7}{8} $

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9) $ 7\frac{3}{16} - 5\frac{5}{8} $

Convert:
- $ 7\frac{3}{16} = \frac{115}{16} $
- $ 5\frac{5}{8} = \frac{45}{8} = \frac{90}{16} $

Subtract:
- $ \frac{115}{16} - \frac{90}{16} = \frac{25}{16} = 1\frac{9}{16} $

✔ Answer: $ 1\frac{9}{16} $

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10) $ 11\frac{1}{2} - 5\frac{1}{2} $

Same denominator:
- Whole numbers: $ 11 - 5 = 6 $
- Fractions: $ \frac{1}{2} - \frac{1}{2} = 0 $

So: $ 6 $

✔ Answer: $ 6 $

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✔ Final Answers:

1) $ 1\frac{3}{4} $
2) $ 8\frac{1}{4} $
3) $ 4\frac{1}{2} $
4) $ 1\frac{15}{16} $
5) $ 2\frac{1}{8} $
6) $ 3\frac{13}{16} $
7) $ 3\frac{11}{16} $
8) $ 1\frac{7}{8} $
9) $ 1\frac{9}{16} $
10) $ 6 $

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