Let's evaluate the expression step by step.
The expression is:
\[ \frac{3}{5} \div \frac{1}{3} - 1 \]
- First, we perform the division of the fractions \(\frac{3}{5}\) and \(\frac{1}{3}\). Dividing by a fraction is the same as multiplying by its reciprocal:
\[ \frac{3}{5} \div \frac{1}{3} = \frac{3}{5} \times \frac{3}{1} = \frac{3 \times 3}{5 \times 1} = \frac{9}{5} \]
- Now we need to subtract 1 from \(\frac{9}{5}\). We can express 1 as a fraction \(\frac{5}{5}\):
\[ \frac{9}{5} - 1 = \frac{9}{5} - \frac{5}{5} = \frac{9 - 5}{5} = \frac{4}{5} \]
So, the final result of the expression \( \frac{3}{5} \div \frac{1}{3} - 1 \) is:
\[ \frac{4}{5} \]