1) \( \frac{4}{5} \div \frac{1}{2}= \)

To solve \( \frac{4}{5} \div \frac{1}{2} \), you can use the trick of multiplying by the reciprocal. So, \( \frac{4}{5} \times \frac{2}{1} \) becomes \( \frac{4 \times 2}{5 \times 1} = \frac{8}{5} \), which can also be expressed as \( 1 \frac{3}{5} \) or 1.6 in decimal form! Now, did you know that the concept of dividing fractions goes way back to ancient civilizations? The Egyptians and Babylonians had their own methods for handling fractions, paving the way for the fraction rules we use today. It's fascinating how math has evolved through history, isn’t it?