2/4-1/3

To subtract the fractions \( \frac{2}{4} - \frac{1}{3} \), we first need a common denominator. The denominators are 4 and 3, and the least common multiple (LCM) of 4 and 3 is 12.

Now, we will convert each fraction:

1. Convert \( \frac{2}{4} \) to have a denominator of 12: \[ \frac{2}{4} = \frac{2 \times 3}{4 \times 3} = \frac{6}{12} \]

2. Convert \( \frac{1}{3} \) to have a denominator of 12: \[ \frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12} \]

Now we can subtract the two fractions: \[ \frac{6}{12} - \frac{4}{12} = \frac{6 - 4}{12} = \frac{2}{12} \]

Finally, we can simplify \( \frac{2}{12} \): \[ \frac{2}{12} = \frac{1}{6} \]

So, \( \frac{2}{4} - \frac{1}{3} = \frac{1}{6} \).