Math worksheet for subtracting mixed fractions with common denominators.

Explanation:
We are subtracting mixed numbers that already have the same denominator. That makes it easier — we just subtract the whole numbers and the fractions separately.

Let’s go through each problem step by step.

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a) $ 4\frac{7}{8} - 3\frac{1}{8} $

- Whole numbers: $4 - 3 = 1$
- Fractions: $ \frac{7}{8} - \frac{1}{8} = \frac{6}{8} = \frac{3}{4} $
- Combine: $1\frac{3}{4}$

✔ Answer: $1\frac{3}{4}$

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b) $ 3\frac{2}{7} - 2\frac{1}{7} $

- Whole numbers: $3 - 2 = 1$
- Fractions: $ \frac{2}{7} - \frac{1}{7} = \frac{1}{7} $
- Combine: $1\frac{1}{7}$

✔ Answer: $1\frac{1}{7}$

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c) $ 6\frac{7}{9} - 2\frac{3}{9} $

- Whole numbers: $6 - 2 = 4$
- Fractions: $ \frac{7}{9} - \frac{3}{9} = \frac{4}{9} $
- Combine: $4\frac{4}{9}$

✔ Answer: $4\frac{4}{9}$

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d) $ 25\frac{9}{15} - 21\frac{2}{15} $

- Whole numbers: $25 - 21 = 4$
- Fractions: $ \frac{9}{15} - \frac{2}{15} = \frac{7}{15} $
- Simplify? $ \frac{7}{15} $ is already simplified.
- Combine: $4\frac{7}{15}$

✔ Answer: $4\frac{7}{15}$

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e) $ 8\frac{5}{8} - 7\frac{2}{8} $

- Whole numbers: $8 - 7 = 1$
- Fractions: $ \frac{5}{8} - \frac{2}{8} = \frac{3}{8} $
- Combine: $1\frac{3}{8}$

✔ Answer: $1\frac{3}{8}$

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f) $ 6\frac{11}{17} - 1\frac{4}{17} $

- Whole numbers: $6 - 1 = 5$
- Fractions: $ \frac{11}{17} - \frac{4}{17} = \frac{7}{17} $
- Combine: $5\frac{7}{17}$

✔ Answer: $5\frac{7}{17}$

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g) $ 11\frac{13}{10} - 10\frac{11}{10} $

⚠️ Wait — $\frac{13}{10}$ is an improper fraction (greater than 1). Let’s fix that first.

$11\frac{13}{10} = 11 + \frac{13}{10} = 11 + 1\frac{3}{10} = 12\frac{3}{10}$

Similarly, $10\frac{11}{10} = 10 + \frac{11}{10} = 10 + 1\frac{1}{10} = 11\frac{1}{10}$

Now subtract:
- Whole numbers: $12 - 11 = 1$
- Fractions: $ \frac{3}{10} - \frac{1}{10} = \frac{2}{10} = \frac{1}{5} $
- Combine: $1\frac{1}{5}$

✔ Answer: $1\frac{1}{5}$

(Alternatively, subtract directly without converting first:
$11\frac{13}{10} - 10\frac{11}{10} = (11 - 10) + \left(\frac{13 - 11}{10}\right) = 1 + \frac{2}{10} = 1\frac{1}{5}$. Same result.)

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h) $12\frac{5}{9} - 3\frac{1}{9}$

- Whole numbers: $12 - 3 = 9$
- Fractions: $ \frac{5}{9} - \frac{1}{9} = \frac{4}{9} $
- Combine: $9\frac{4}{9}$

✔ Answer: $9\frac{4}{9}$

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Double-check all answers:

a) $1\frac{3}{4}$
b) $1\frac{1}{7}$
c) $4\frac{4}{9}$
d) $4\frac{7}{15}$
e) $1\frac{3}{8}$
f) $5\frac{7}{17}$
g) $1\frac{1}{5}$
h) $9\frac{4}{9}$

All correct.

Final Answer:
a) $1\frac{3}{4}$
b) $1\frac{1}{7}$
c) $4\frac{4}{9}$
d) $4\frac{7}{15}$
e) $1\frac{3}{8}$
f) $5\frac{7}{17}$
g) $1\frac{1}{5}$
h) $9\frac{4}{9}$