https://file.aiquickdraw.com/mathbot/file/17282038684814yb89l8b.jpg

The expression in the image is:

\[
1 \frac{1}{4} \cdot 2 \frac{2}{5} - \frac{1}{3} + \frac{3}{8}
\]

Let's break this down step-by-step.

### Step 1: Convert Mixed Fractions to Improper Fractions

- \( 1 \frac{1}{4} = \frac{5}{4} \)  
- \( 2 \frac{2}{5} = \frac{12}{5} \)

Now the expression becomes:

\[
\frac{5}{4} \cdot \frac{12}{5} - \frac{1}{3} + \frac{3}{8}
\]

### Step 2: Multiply the Fractions

\[
\frac{5}{4} \cdot \frac{12}{5} = \frac{5 \times 12}{4 \times 5} = \frac{60}{20} = 3
\]

Now the expression is:

\[
3 - \frac{1}{3} + \frac{3}{8}
\]

### Step 3: Find a Common Denominator

We need to combine the fractions \( \frac{1}{3} \) and \( \frac{3}{8} \). The least common denominator (LCD) of 3 and 8 is 24.

- \( \frac{1}{3} = \frac{8}{24} \)
- \( \frac{3}{8} = \frac{9}{24} \)

Now the expression is:

\[
3 - \frac{8}{24} + \frac{9}{24}
\]

### Step 4: Simplify the Fractions

\[
3 - \frac{8}{24} + \frac{9}{24} = 3 + \frac{1}{24}
\]

### Step 5: Combine the Whole Number and Fraction

\[
3 + \frac{1}{24} = \frac{72}{24} + \frac{1}{24} = \frac{73}{24}
\]

### Final Answer:

The result of the expression is:

\[
\boxed{\frac{73}{24}} \quad \text{or as a mixed fraction} \quad 3 \frac{1}{24}
\]

Would you like more details or have any questions? Here are some related questions to deepen your understanding:

1. How do you convert mixed numbers into improper fractions?
2. What is the general process for multiplying fractions?
3. How do you find the least common denominator (LCD) of two fractions?
4. Why is simplifying fractions important in arithmetic operations?
5. Can you explain the process of adding and subtracting fractions with different denominators?

**Tip**: When multiplying fractions, always check for any possible simplifications before performing the operation to make the process easier.

Solve the expression 1 1/4 * 2 2/5 - 1/3 + 3/8.

Learn how to solve the fraction expression involving mixed numbers: 1 1/4 * 2 2/5 - 1/3 + 3/8. This problem covers fraction multiplication, converting mixed numbers to improper fractions, and adding and subtracting fractions. Suitable for students in Grades 6-8.

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