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To solve the expression \( 5 \div \frac{3}{7} \), we can follow these steps:

### Step 1: Rewrite the division as multiplication.
When dividing by a fraction, we multiply by its reciprocal. The reciprocal of \( \frac{3}{7} \) is \( \frac{7}{3} \).

So,
\[
5 \div \frac{3}{7} = 5 \times \frac{7}{3}
\]

### Step 2: Perform the multiplication.
Now multiply:
\[
5 \times \frac{7}{3} = \frac{5 \times 7}{3} = \frac{35}{3}
\]

### Final Answer:
The result is \( \frac{35}{3} \), which is already in its lowest terms.

Would you like a deeper explanation or further details on how this was solved?

Here are 5 related questions you might want to explore:
1. How do you multiply fractions by whole numbers?
2. What is the process to simplify fractions?
3. How do you convert improper fractions to mixed numbers?
4. What are the rules for dividing by fractions?
5. Can you divide mixed numbers by fractions?

**Tip:** Always remember that dividing by a fraction is the same as multiplying by its reciprocal!

What is 5 ÷ (3/7)? Give your answer as an integer or as a fraction in its lowest terms.

Learn how to solve 5 ÷ (3/7) with this step-by-step explanation. Understand the key concepts of dividing by fractions, applying the reciprocal rule, and simplifying the result to its lowest terms. Suitable for students in Grades 6-8.

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