Subtracting Mixed Numbers w-like Denominators 2 online exercise ... - Free Printable

Problem: Subtracting Mixed Numbers with Like Denominators

The task involves subtracting mixed numbers where the denominators are the same (like denominators). Here's how to solve each problem step by step.

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#### General Steps for Subtracting Mixed Numbers with Like Denominators:
1. Separate the whole numbers and fractions.
2. Subtract the whole numbers.
3. Subtract the fractions.
4. If the fraction part of the minuend is smaller than the fraction part of the subtrahend, borrow 1 from the whole number part of the minuend.
5. Simplify the result if necessary.

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Solutions:

#### a. \( 4 \frac{7}{8} - 3 \frac{2}{8} \)
- Subtract the whole numbers: \( 4 - 3 = 1 \)
- Subtract the fractions: \( \frac{7}{8} - \frac{2}{8} = \frac{5}{8} \)
- Combine: \( 1 + \frac{5}{8} = 1 \frac{5}{8} \)

Answer: \( 1 \frac{5}{8} \)

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#### b. \( 9 \frac{3}{4} - 5 \frac{2}{4} \)
- Subtract the whole numbers: \( 9 - 5 = 4 \)
- Subtract the fractions: \( \frac{3}{4} - \frac{2}{4} = \frac{1}{4} \)
- Combine: \( 4 + \frac{1}{4} = 4 \frac{1}{4} \)

Answer: \( 4 \frac{1}{4} \)

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#### c. \( 7 \frac{2}{3} - 2 \frac{1}{3} \)
- Subtract the whole numbers: \( 7 - 2 = 5 \)
- Subtract the fractions: \( \frac{2}{3} - \frac{1}{3} = \frac{1}{3} \)
- Combine: \( 5 + \frac{1}{3} = 5 \frac{1}{3} \)

Answer: \( 5 \frac{1}{3} \)

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#### d. \( 5 \frac{7}{9} - 3 \frac{3}{9} \)
- Subtract the whole numbers: \( 5 - 3 = 2 \)
- Subtract the fractions: \( \frac{7}{9} - \frac{3}{9} = \frac{4}{9} \)
- Combine: \( 2 + \frac{4}{9} = 2 \frac{4}{9} \)

Answer: \( 2 \frac{4}{9} \)

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#### e. \( 8 \frac{9}{11} - 5 \frac{7}{11} \)
- Subtract the whole numbers: \( 8 - 5 = 3 \)
- Subtract the fractions: \( \frac{9}{11} - \frac{7}{11} = \frac{2}{11} \)
- Combine: \( 3 + \frac{2}{11} = 3 \frac{2}{11} \)

Answer: \( 3 \frac{2}{11} \)

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#### f. \( 19 \frac{4}{5} - 12 \frac{2}{5} \)
- Subtract the whole numbers: \( 19 - 12 = 7 \)
- Subtract the fractions: \( \frac{4}{5} - \frac{2}{5} = \frac{2}{5} \)
- Combine: \( 7 + \frac{2}{5} = 7 \frac{2}{5} \)

Answer: \( 7 \frac{2}{5} \)

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#### g. \( 17 \frac{5}{7} - 4 \frac{2}{7} \)
- Subtract the whole numbers: \( 17 - 4 = 13 \)
- Subtract the fractions: \( \frac{5}{7} - \frac{2}{7} = \frac{3}{7} \)
- Combine: \( 13 + \frac{3}{7} = 13 \frac{3}{7} \)

Answer: \( 13 \frac{3}{7} \)

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#### h. \( 3 \frac{5}{6} - 2 \frac{5}{6} \)
- Subtract the whole numbers: \( 3 - 2 = 1 \)
- Subtract the fractions: \( \frac{5}{6} - \frac{5}{6} = 0 \)
- Combine: \( 1 + 0 = 1 \)

Answer: \( 1 \)

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#### i. \( 7 \frac{11}{12} - 1 \frac{5}{12} \)
- Subtract the whole numbers: \( 7 - 1 = 6 \)
- Subtract the fractions: \( \frac{11}{12} - \frac{5}{12} = \frac{6}{12} = \frac{1}{2} \)
- Combine: \( 6 + \frac{1}{2} = 6 \frac{1}{2} \)

Answer: \( 6 \frac{1}{2} \)

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#### j. \( 25 \frac{6}{10} - 11 \frac{3}{10} \)
- Subtract the whole numbers: \( 25 - 11 = 14 \)
- Subtract the fractions: \( \frac{6}{10} - \frac{3}{10} = \frac{3}{10} \)
- Combine: \( 14 + \frac{3}{10} = 14 \frac{3}{10} \)

Answer: \( 14 \frac{3}{10} \)

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#### k. \( 11 \frac{5}{9} - 9 \frac{4}{9} \)
- Subtract the whole numbers: \( 11 - 9 = 2 \)
- Subtract the fractions: \( \frac{5}{9} - \frac{4}{9} = \frac{1}{9} \)
- Combine: \( 2 + \frac{1}{9} = 2 \frac{1}{9} \)

Answer: \( 2 \frac{1}{9} \)

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#### l. \( 8 \frac{5}{8} - 7 \frac{1}{8} \)
- Subtract the whole numbers: \( 8 - 7 = 1 \)
- Subtract the fractions: \( \frac{5}{8} - \frac{1}{8} = \frac{4}{8} = \frac{1}{2} \)
- Combine: \( 1 + \frac{1}{2} = 1 \frac{1}{2} \)

Answer: \( 1 \frac{1}{2} \)

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Final Answers:

\[
\boxed{
\begin{aligned}
&\text{a. } 1 \frac{5}{8} \\
&\text{b. } 4 \frac{1}{4} \\
&\text{c. } 5 \frac{1}{3} \\
&\text{d. } 2 \frac{4}{9} \\
&\text{e. } 3 \frac{2}{11} \\
&\text{f. } 7 \frac{2}{5} \\
&\text{g. } 13 \frac{3}{7} \\
&\text{h. } 1 \\
&\text{i. } 6 \frac{1}{2} \\
&\text{j. } 14 \frac{3}{10} \\
&\text{k. } 2 \frac{1}{9} \\
&\text{l. } 1 \frac{1}{2}
\end{aligned}
}
\]