https://file.aiquickdraw.com/mathbot/file/17265390163222g1hqz9f.jpg

The image shows a math problem where you are asked to calculate:

\[
2 \frac{1}{4} + 1 \frac{3}{5}
\]

### Step-by-Step Solution:

1. Convert the mixed numbers to improper fractions:
   \[
   2 \frac{1}{4} = \frac{9}{4} \quad \text{and} \quad 1 \frac{3}{5} = \frac{8}{5}
   \]

2. To add the fractions, find a common denominator. The least common denominator (LCD) of 4 and 5 is 20.

3. Convert both fractions:
   \[
   \frac{9}{4} = \frac{45}{20}, \quad \frac{8}{5} = \frac{32}{20}
   \]

4. Now add the two fractions:
   \[
   \frac{45}{20} + \frac{32}{20} = \frac{77}{20}
   \]

5. Simplify or convert back to a mixed number:
   \[
   \frac{77}{20} = 3 \frac{17}{20}
   \]

Thus, the result is:

\[
\boxed{3 \frac{17}{20}}
\]

Let me know if you want further details on any step or have questions!

### Related Questions:
1. How do you convert a mixed number to an improper fraction?
2. What is the process for finding the least common denominator between two fractions?
3. How do you subtract mixed numbers instead of adding them?
4. How can you multiply or divide mixed numbers?
5. How do you convert improper fractions back to mixed numbers?

### Tip: 
When adding fractions with different denominators, always make sure to find the least common denominator (LCD) to simplify your calculations.

This guide explains how to add the mixed numbers 2 1/4 and 1 3/5. Follow the step-by-step solution to learn how to convert mixed numbers to improper fractions, find the least common denominator, and add fractions. Perfect for Grades 5-6 math learners.

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