To multiply the mixed number \( 1 \frac{1}{4} \) by \( \frac{2}{5} \), we first convert the mixed number into an improper fraction.

### Step 1: Convert \( 1 \frac{1}{4} \) to an improper fraction.
\[
1 \frac{1}{4} = \frac{5}{4}
\]

### Step 2: Multiply the improper fraction by \( \frac{2}{5} \).
\[
\frac{5}{4} \times \frac{2}{5} = \frac{5 \times 2}{4 \times 5} = \frac{10}{20} = \frac{1}{2}
\]

### Final Answer:
\[
1 \frac{1}{4} \times \frac{2}{5} = \frac{1}{2}
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you convert improper fractions to mixed numbers?
2. Can you multiply two mixed numbers directly?
3. How do you simplify a fraction?
4. What is the difference between multiplying fractions and adding fractions?
5. How do you divide fractions?

**Tip**: Always simplify fractions at the end of your calculations to their lowest terms.

Learn how to multiply the mixed number 1 1/4 by the fraction 2/5. This step-by-step guide explains how to convert mixed numbers into improper fractions, perform multiplication, and simplify the result. Suitable for Grades 5-7 students.

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