To solve \( 20 \div \frac{2}{5} \), follow these steps:

### Step 1: Rewrite the division of fractions as multiplication.
Dividing by a fraction is the same as multiplying by its reciprocal:
\[
20 \div \frac{2}{5} = 20 \times \frac{5}{2}
\]

### Step 2: Perform the multiplication.
Now, multiply:
\[
20 \times \frac{5}{2} = \frac{20 \times 5}{2} = \frac{100}{2} = 50
\]

So, the answer is \( 50 \).

Would you like more details or have any questions?

Here are five related questions:
1. What is the result of \( 15 \div \frac{3}{4} \)?
2. How do you multiply two fractions, like \( \frac{3}{5} \times \frac{4}{7} \)?
3. What is the reciprocal of a fraction and why is it important?
4. How can you simplify complex fractions?
5. What is the difference between dividing by a whole number and a fraction?

**Tip:** Dividing by a fraction is equivalent to multiplying by its reciprocal, which is why you flip the second fraction and multiply.

Learn how to divide fractions by solving 20 ÷ 2/5. This step-by-step solution covers essential concepts such as division of fractions and multiplication by reciprocals, suitable for students in Grades 6-8.

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