Fraction Worksheets - Free Printable

To solve the problem of adding improper fractions, we need to follow a systematic approach. Let's break it down step by step.

General Steps for Adding Improper Fractions:

1. Ensure the denominators are the same: If the denominators are different, find a common denominator.
2. Add the numerators: Once the denominators are the same, add the numerators together.
3. Simplify the result: If the resulting fraction is improper (numerator larger than the denominator), convert it to a mixed number if necessary.

Since you haven't provided specific fractions from the image, I'll demonstrate the process with a general example and then explain how to apply it to any given fractions.

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Example Problem:

Let's solve one of the problems as an example:
$$
\frac{5}{3} + \frac{7}{3}
$$

#### Step 1: Check the denominators
The denominators are already the same (both are 3).

#### Step 2: Add the numerators
Add the numerators while keeping the denominator the same:
$$
\frac{5}{3} + \frac{7}{3} = \frac{5 + 7}{3} = \frac{12}{3}
$$

#### Step 3: Simplify the result
The fraction $\frac{12}{3}$ can be simplified:
$$
\frac{12}{3} = 4
$$

So, the final answer is:
$$
\boxed{4}
$$

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Applying to Other Problems:

Now, let's consider another example where the denominators are different:
$$
\frac{8}{5} + \frac{3}{4}
$$

#### Step 1: Find a common denominator
The denominators are 5 and 4. The least common denominator (LCD) is 20.

#### Step 2: Rewrite each fraction with the common denominator
- For $\frac{8}{5}$: Multiply numerator and denominator by 4:
$$
\frac{8}{5} = \frac{8 \times 4}{5 \times 4} = \frac{32}{20}
$$
- For $\frac{3}{4}$: Multiply numerator and denominator by 5:
$$
\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}
$$

#### Step 3: Add the fractions
Now that the denominators are the same, add the numerators:
$$
\frac{32}{20} + \frac{15}{20} = \frac{32 + 15}{20} = \frac{47}{20}
$$

#### Step 4: Simplify the result
The fraction $\frac{47}{20}$ is already in its simplest form, but it is an improper fraction. Convert it to a mixed number:
$$
\frac{47}{20} = 2 \frac{7}{20}
$$

So, the final answer is:
$$
\boxed{2 \frac{7}{20}}
$$

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General Explanation for the Worksheet:

For each problem on the worksheet:
1. Identify if the denominators are the same. If not, find the least common denominator (LCD).
2. Rewrite the fractions with the common denominator.
3. Add the numerators and keep the denominator the same.
4. Simplify the resulting fraction, converting to a mixed number if necessary.

If you provide specific fractions from the worksheet, I can solve them step by step for you! Otherwise, this explanation should help you tackle any addition of improper fractions.

Final Answer:
$$
\boxed{\text{Follow the steps above to solve each problem on the worksheet.}}
$$