To solve \( 3 \frac{2}{7} \times 5 \), follow these steps:

1. Convert the mixed number \( 3 \frac{2}{7} \) to an improper fraction:
   \[
   3 \frac{2}{7} = \frac{3 \times 7 + 2}{7} = \frac{23}{7}
   \]

2. Now multiply the improper fraction by 5:
   \[
   \frac{23}{7} \times 5 = \frac{23 \times 5}{7} = \frac{115}{7}
   \]

3. Simplify the improper fraction:
   \[
   \frac{115}{7} = 16 \frac{3}{7}
   \]

So, \( 3 \frac{2}{7} \times 5 = 16 \frac{3}{7} \).

Would you like a more detailed explanation?

Here are some related questions to expand on this topic:
1. How do you multiply two mixed numbers together?
2. What are the steps for converting improper fractions to mixed numbers?
3. How do you simplify complex fractions?
4. What are the common mistakes when multiplying fractions?
5. Can multiplication of fractions lead to improper fractions, and how are they simplified?

**Tip**: Always convert mixed numbers to improper fractions before performing operations.

Learn how to multiply the mixed number 3 2/7 by the whole number 5. This guide walks you through converting the mixed number into an improper fraction and multiplying it with a whole number. Perfect for students in Grades 5-7.

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