1/5 •5/10

To multiply the fractions \(\frac{1}{5}\) and \(\frac{5}{10}\), you multiply the numerators together and the denominators together:

\[ \frac{1}{5} \times \frac{5}{10} = \frac{1 \times 5}{5 \times 10} = \frac{5}{50} \]

Now, you can simplify \(\frac{5}{50}\) by dividing the numerator and denominator by their greatest common divisor, which is 5:

\[ \frac{5 \div 5}{50 \div 5} = \frac{1}{10} \]

So, \(\frac{1}{5} \times \frac{5}{10} = \frac{1}{10}\).