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The problem asks you to multiply two mixed numbers: \( 1 \frac{7}{8} \) and \( 1 \frac{1}{2} \).

### Step-by-step solution:

1. **Convert the mixed numbers into improper fractions:**
   \[
   1 \frac{7}{8} = \frac{15}{8} \quad \text{and} \quad 1 \frac{1}{2} = \frac{3}{2}
   \]
   Here's how the conversion works:
   - \( 1 \frac{7}{8} = \frac{1 \times 8 + 7}{8} = \frac{15}{8} \)
   - \( 1 \frac{1}{2} = \frac{1 \times 2 + 1}{2} = \frac{3}{2} \)

2. **Multiply the improper fractions:**
   \[
   \frac{15}{8} \times \frac{3}{2} = \frac{15 \times 3}{8 \times 2} = \frac{45}{16}
   \]

3. **Convert the result back to a mixed number:**
   \[
   \frac{45}{16} = 2 \frac{13}{16}
   \]
   Here, 45 divided by 16 gives 2 as the whole number, with a remainder of 13, so the fraction part is \( \frac{13}{16} \).

### Final answer:
\[
2 \frac{13}{16}
\]

Would you like more details or have any questions? 

Here are 5 follow-up questions to explore:

1. How do you convert a mixed number into an improper fraction?
2. What is the process of multiplying two fractions?
3. How do you convert an improper fraction back into a mixed number?
4. Can you explain why we multiply the numerators and denominators directly when multiplying fractions?
5. What would happen if one of the mixed numbers had a negative value?

**Tip:** When working with mixed numbers, always convert them to improper fractions before performing operations like multiplication or division!

Learn how to multiply the mixed numbers 1 7/8 and 1 1/2 with this detailed step-by-step guide. We explain how to convert mixed numbers to improper fractions, multiply them, and convert the result back into a mixed number. Suitable for students in Grades 5-7.

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