6. \( \frac{2}{5} \div \frac{1}{2}= \)

To solve \( \frac{2}{5} \div \frac{1}{2} \), you can change the division of fractions into multiplication by flipping the second fraction. So, it becomes \( \frac{2}{5} \times \frac{2}{1} \). Now multiply the numerators: \( 2 \times 2 = 4 \), and the denominators: \( 5 \times 1 = 5 \). Thus, \( \frac{2}{5} \div \frac{1}{2} = \frac{4}{5} \). If you're thinking about fractions, remember this handy tip: always convert division problems into multiplication by taking the reciprocal of the second fraction. It’s a surefire way to avoid mistakes and make things simpler! Also, don’t forget to simplify your answers if possible, but in this case, \( \frac{4}{5} \) is already in its simplest form.