To solve the expression \( \frac{8}{3} \div \frac{5}{16} \), follow these steps:

### Step 1: Convert the division into multiplication by multiplying by the reciprocal.
\[
\frac{8}{3} \div \frac{5}{16} = \frac{8}{3} \times \frac{16}{5}
\]

### Step 2: Multiply the numerators and the denominators.
\[
\frac{8 \times 16}{3 \times 5} = \frac{128}{15}
\]

So, \( \frac{8}{3} \div \frac{5}{16} = \frac{128}{15} \).

The answer is \( \frac{128}{15} \) or approximately 8.53.

Would you like more details or have any questions?

Here are some related questions:
1. What is the reciprocal of a fraction, and how is it used in division?
2. How can you convert improper fractions into mixed numbers?
3. What is the importance of simplifying fractions in multiplication or division?
4. How do you handle division when there are mixed numbers involved?
5. Can you apply this method of dividing fractions to real-world problems?

**Tip:** Always remember to flip the second fraction and multiply when dividing two fractions!

Learn how to divide fractions with a step-by-step guide. This problem explains how to solve 8/3 ÷ 5/16 using the reciprocal method. Core concepts include multiplying by the reciprocal and simplifying fractions. Suitable for students in Grades 5-7.

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