To divide the fractions \(\frac{2}{5}\) by \(\frac{8}{15}\), you multiply the first fraction by the reciprocal of the second fraction:

\[
\frac{2}{5} \div \frac{8}{15} = \frac{2}{5} \times \frac{15}{8}
\]

Now, multiply the numerators and the denominators:

\[
\frac{2 \times 15}{5 \times 8} = \frac{30}{40}
\]

Simplify \(\frac{30}{40}\) by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 10:

\[
\frac{30 \div 10}{40 \div 10} = \frac{3}{4}
\]

So, \(\frac{2}{5} \div \frac{8}{15} = \frac{3}{4}\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you multiply fractions?
2. What is the process for finding the reciprocal of a fraction?
3. How do you simplify fractions?
4. How can you divide a whole number by a fraction?
5. What are real-life applications of dividing fractions?

**Tip:** Always simplify your fractions to their lowest terms to get the most accurate answer.

Learn how to divide fractions with a detailed step-by-step solution for 2/5 divided by 8/15. This problem covers key concepts in fractions, including multiplication of reciprocals and simplification. Suitable for students in Grades 6-8.

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