https://file.aiquickdraw.com/mathbot/file/1725451653710t0316tiv.jpg

The image you uploaded shows the expression:

\[
2 \frac{3}{5} + \frac{5}{15}
\]

Let's solve this step by step.

### Step 1: Convert the mixed number to an improper fraction
The first part of the expression is a mixed number: \(2 \frac{3}{5}\).

To convert this to an improper fraction:
\[
2 \frac{3}{5} = \frac{2 \times 5 + 3}{5} = \frac{10 + 3}{5} = \frac{13}{5}
\]

### Step 2: Simplify the fractions
The second fraction in the expression is \(\frac{5}{15}\). We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5:
\[
\frac{5}{15} = \frac{5 \div 5}{15 \div 5} = \frac{1}{3}
\]

### Step 3: Find a common denominator
To add the fractions \(\frac{13}{5}\) and \(\frac{1}{3}\), we need a common denominator. The least common denominator (LCD) of 5 and 3 is 15.

Convert both fractions to have the denominator of 15:
\[
\frac{13}{5} = \frac{13 \times 3}{5 \times 3} = \frac{39}{15}
\]
\[
\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}
\]

### Step 4: Add the fractions
Now that both fractions have a common denominator, we can add them:
\[
\frac{39}{15} + \frac{5}{15} = \frac{39 + 5}{15} = \frac{44}{15}
\]

### Final Answer
The result of the expression \(2 \frac{3}{5} + \frac{5}{15}\) is:

\[
\frac{44}{15}
\]

Would you like further details on any part of the solution, or do you have any other questions?

### Related Questions:
1. How do you convert improper fractions to mixed numbers?
2. What is the process of finding the least common denominator?
3. How do you simplify a complex fraction?
4. Can you explain how to add or subtract fractions with different denominators?
5. How can you multiply or divide fractions?

### Tip:
When working with fractions, always simplify them as early as possible to make calculations easier.

This tutorial walks you through solving the expression 2 3/5 + 5/15. Learn how to convert mixed numbers to improper fractions, find the least common denominator, and simplify fractions in this easy-to-follow guide. Perfect for students in Grades 4-6.

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