To calculate \(\frac{3}{5} - \frac{1}{2}\), we first need to find a common denominator. The denominators here are 5 and 2. The least common multiple (LCM) of 5 and 2 is 10.
Now we convert each fraction to have a denominator of 10:
-
For \(\frac{3}{5}\): \[ \frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10} \]
-
For \(\frac{1}{2}\): \[ \frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10} \]
Now we can subtract the two fractions: \[ \frac{6}{10} - \frac{5}{10} = \frac{6 - 5}{10} = \frac{1}{10} \]
Thus, the result of \(\frac{3}{5} - \frac{1}{2}\) is: \[ \boxed{\frac{1}{10}} \]