To solve \(\frac{8}{10} \div \frac{2}{5}\), follow these steps:

1. **Rewrite the division as multiplication** by taking the reciprocal of the divisor:
   \[
   \frac{8}{10} \div \frac{2}{5} = \frac{8}{10} \times \frac{5}{2}
   \]

2. **Multiply the numerators and denominators**:
   \[
   \frac{8 \times 5}{10 \times 2} = \frac{40}{20}
   \]

3. **Simplify the fraction**:
   \[
   \frac{40}{20} = 2
   \]

So, the answer is:

\[
\frac{8}{10} \div \frac{2}{5} = 2
\]

Would you like more details or have any questions?

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Here are 5 related questions:

1. What is \(\frac{3}{4} \div \frac{2}{7}\)?
2. How do you multiply two fractions?
3. What is \(\frac{5}{6} \times \frac{3}{2}\)?
4. How do you convert a fraction to its reciprocal?
5. What is the result of \(\frac{15}{8} \div \frac{3}{4}\)?

**Tip**: Always simplify fractions when possible to get the final reduced form!

Learn how to solve the division of fractions problem 8/10 divided by 2/5. This detailed solution covers key concepts such as the division and multiplication of fractions and provides a clear step-by-step approach. Suitable for students in Grades 6-8.

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