Question

Calculate: `\frac{3}{5}-\frac{1}{2}`



Type your answer in fraction form:

Answer 1

To subtract the fractions \(\frac{3}{5}\) and \(\frac{1}{2}\), we first need to find a common denominator.

The denominators are 5 and 2. The least common multiple (LCM) of 5 and 2 is 10.

Next, we will convert each fraction to have the common denominator of 10:

1. Convert \(\frac{3}{5}\):
\[
\frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10}
\]

2. Convert \(\frac{1}{2}\):
\[
\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}
\]

Now, we can subtract the two fractions:
\[
\frac{6}{10} - \frac{5}{10} = \frac{6 - 5}{10} = \frac{1}{10}
\]

Thus, the answer is:
\[
\frac{1}{10}
\]