Subtracting Mixed Numbers Worksheets - Free Printable

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General Steps for Subtracting Mixed Numbers:

1. Convert Mixed Numbers to Improper Fractions (if necessary).
2. Ensure Common Denominators for the fractions.
3. Subtract the Numerators while keeping the denominator the same.
4. Simplify the Result if possible.
5. Convert Back to a Mixed Number if needed.

Example Problem:

Let's solve a typical problem from such a worksheet:
$$
7 \frac{3}{4} - 2 \frac{1}{3}
$$

#### Step 1: Convert Mixed Numbers to Improper Fractions
- For $7 \frac{3}{4}$:
$$
7 \frac{3}{4} = 7 + \frac{3}{4} = \frac{7 \times 4}{4} + \frac{3}{4} = \frac{28}{4} + \frac{3}{4} = \frac{31}{4}
$$

- For $2 \frac{1}{3}$:
$$
2 \frac{1}{3} = 2 + \frac{1}{3} = \frac{2 \times 3}{3} + \frac{1}{3} = \frac{6}{3} + \frac{1}{3} = \frac{7}{3}
$$

So, the problem becomes:
$$
\frac{31}{4} - \frac{7}{3}
$$

#### Step 2: Ensure Common Denominators
The denominators are 4 and 3. The least common denominator (LCD) is 12. Convert each fraction to have a denominator of 12:
- For $\frac{31}{4}$:
$$
\frac{31}{4} = \frac{31 \times 3}{4 \times 3} = \frac{93}{12}
$$

- For $\frac{7}{3}$:
$$
\frac{7}{3} = \frac{7 \times 4}{3 \times 4} = \frac{28}{12}
$$

Now the problem is:
$$
\frac{93}{12} - \frac{28}{12}
$$

#### Step 3: Subtract the Numerators
Since the denominators are the same, subtract the numerators:
$$
\frac{93}{12} - \frac{28}{12} = \frac{93 - 28}{12} = \frac{65}{12}
$$

#### Step 4: Simplify the Result
$\frac{65}{12}$ is already in simplest form as a fraction.

#### Step 5: Convert Back to a Mixed Number
Convert $\frac{65}{12}$ back to a mixed number:
$$
65 \div 12 = 5 \text{ remainder } 5
$$
So,
$$
\frac{65}{12} = 5 \frac{5}{12}
$$

Final Answer:

$$
\boxed{5 \frac{5}{12}}
$$

If you have a specific problem from the worksheet that you'd like me to solve, please provide the details, and I can walk through it step by step!