Question
calculate `\frac{3}{5}-\frac{1}{2}`
Answers
GPT-4o mini
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, and the least common multiple of 5 and 2 is 10.
Now we 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 result of \(\frac{3}{5} - \frac{1}{2}\) is \(\frac{1}{10}\).
Now we 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 result of \(\frac{3}{5} - \frac{1}{2}\) is \(\frac{1}{10}\).