To solve \(\frac{8}{3} : \frac{16}{5}\), you can rewrite division of fractions as multiplication by the reciprocal of the second fraction:

\[
\frac{8}{3} : \frac{16}{5} = \frac{8}{3} \times \frac{5}{16}
\]

Now multiply the numerators and the denominators:

\[
\frac{8 \times 5}{3 \times 16} = \frac{40}{48}
\]

Simplify the fraction:

\[
\frac{40}{48} = \frac{5}{6}
\]

So, \(\frac{8}{3} : \frac{16}{5} = \frac{5}{6}\).

Would you like a detailed explanation or have any questions?

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Here are 5 related questions:
1. How do you simplify fractions?
2. What is the reciprocal of a fraction?
3. How do you multiply two fractions?
4. How do you divide mixed numbers?
5. How can you convert a fraction to a decimal?

**Tip:** When dividing fractions, always multiply by the reciprocal of the second fraction!

Learn how to solve the fraction division problem 8/3 ÷ 16/5. This detailed guide walks you through multiplying by the reciprocal, simplifying fractions, and understanding the underlying concepts. Perfect for students in Grades 6-8.

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