To multiply the mixed numbers \( 4 \frac{3}{8} \) and \( 2 \frac{7}{10} \), follow these steps:

### Step 1: Convert the mixed numbers to improper fractions.
\[
4 \frac{3}{8} = \frac{4 \times 8 + 3}{8} = \frac{35}{8}
\]
\[
2 \frac{7}{10} = \frac{2 \times 10 + 7}{10} = \frac{27}{10}
\]

### Step 2: Multiply the improper fractions.
\[
\frac{35}{8} \times \frac{27}{10} = \frac{35 \times 27}{8 \times 10} = \frac{945}{80}
\]

### Step 3: Simplify the fraction.
\[
\frac{945}{80} = 11 \frac{145}{160}
\]
Since \( \frac{145}{160} \) can be simplified by dividing both the numerator and denominator by 5:
\[
\frac{145}{160} = \frac{29}{32}
\]

### Final Answer:
\[
4 \frac{3}{8} \times 2 \frac{7}{10} = 11 \frac{29}{32}
\]

Would you like more details or have any questions?

---

Here are 5 related questions to explore:

1. How do you add or subtract mixed numbers?
2. How can you divide mixed numbers?
3. What are improper fractions, and how are they useful in calculations?
4. How do you simplify fractions after multiplying them?
5. How do you convert a decimal to a fraction?

**Tip:** Always simplify your answer as much as possible when working with fractions!

Learn how to multiply mixed numbers with this detailed example: 4 3/8 * 2 7/10. Follow step-by-step instructions to convert to improper fractions, multiply, and simplify the result. Perfect for Grades 6-8 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation