To solve \( \frac{3}{5} \times 1:9 \), you first need to interpret the notation "1:9". In mathematical terms, "1:9" can be understood as a ratio or fraction, specifically \( \frac{1}{9} \).
So, the expression becomes:
\[ \frac{3}{5} \times \frac{1}{9} \]
Now, multiply the fractions:
\[ \frac{3 \times 1}{5 \times 9} = \frac{3}{45} \]
Next, simplify \( \frac{3}{45} \):
\[ \frac{3}{45} = \frac{1}{15} \]
Therefore, \( \frac{3}{5} \times 1:9 = \frac{1}{15} \).
