https://file.aiquickdraw.com/mathbot/file/1728662284720ko5c4es9.jpg

The problem shown in the image is asking to find the least common denominator (LCD) and use it to perform the addition:

\[
2 + \frac{4}{5}
\]

### Step-by-step Solution:

1. **Convert the whole number to a fraction**:
   The number \(2\) can be rewritten as \(\frac{2}{1}\).

   So, the expression becomes:
   \[
   \frac{2}{1} + \frac{4}{5}
   \]

2. **Find the LCD**:
   The denominators are \(1\) and \(5\). The least common denominator of \(1\) and \(5\) is \(5\).

3. **Rewrite the fractions with the LCD**:
   To convert \(\frac{2}{1}\) to a fraction with a denominator of \(5\), multiply both the numerator and denominator by \(5\):
   \[
   \frac{2}{1} = \frac{2 \times 5}{1 \times 5} = \frac{10}{5}
   \]
   Now the equation is:
   \[
   \frac{10}{5} + \frac{4}{5}
   \]

4. **Add the fractions**:
   Since the denominators are the same, add the numerators:
   \[
   \frac{10 + 4}{5} = \frac{14}{5}
   \]

5. **Simplify (if necessary)**:
   \(\frac{14}{5}\) is already in its simplest form, but it can also be expressed as a mixed number:
   \[
   \frac{14}{5} = 2 \frac{4}{5}
   \]

So, the final answer is either \(\frac{14}{5}\) or \(2 \frac{4}{5}\).

---

Do you need further explanation or details? Here are some related questions to enhance understanding:

1. How do you find the least common denominator for more complex fractions?
2. What happens if the denominators are not relatively prime?
3. How can improper fractions be converted into mixed numbers?
4. Can you subtract fractions in the same way as addition?
5. What if the fractions were negative—how would that affect the operation?

**Tip**: Always simplify your fractions before performing operations; it often makes the process easier.

Find the LCD and use it to perform the indicated operations. Then, simplify and reduce, where necessary: 2 + 4/5

Learn how to find the least common denominator (LCD) and add the fraction 4/5 to the whole number 2. This step-by-step solution covers key fraction addition concepts, including rewriting whole numbers as fractions and simplifying improper fractions into mixed numbers. Suitable for Grades 6-8.

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