2/3 / 3/5

1 answer

To divide fractions, you can multiply by the reciprocal of the second fraction. Here’s how to divide \( \frac{2}{3} \) by \( \frac{3}{5} \):

\[ \frac{2}{3} \div \frac{3}{5} = \frac{2}{3} \times \frac{5}{3} \]

Now, multiply the fractions:

\[ \frac{2 \times 5}{3 \times 3} = \frac{10}{9} \]

So, \( \frac{2}{3} \div \frac{3}{5} = \frac{10}{9} \).