1/4:3/5

To divide the fractions \( \frac{1}{4} \) by \( \frac{3}{5} \), you need to multiply \( \frac{1}{4} \) by the reciprocal of \( \frac{3}{5} \).

The reciprocal of \( \frac{3}{5} \) is \( \frac{5}{3} \).

So, the calculation is as follows:

\[ \frac{1}{4} \div \frac{3}{5} = \frac{1}{4} \times \frac{5}{3} \]

Now, multiply the numerators and the denominators:

\[ \frac{1 \times 5}{4 \times 3} = \frac{5}{12} \]

Therefore, \( \frac{1}{4} \div \frac{3}{5} = \frac{5}{12} \).