2/3-4/7

To subtract the fractions \( \frac{2}{3} \) and \( \frac{4}{7} \), we first need to find a common denominator. The least common multiple of \( 3 \) and \( 7 \) is \( 21 \).

Next, we convert each fraction to have the common denominator of \( 21 \):

\[ \frac{2}{3} = \frac{2 \times 7}{3 \times 7} = \frac{14}{21} \]

\[ \frac{4}{7} = \frac{4 \times 3}{7 \times 3} = \frac{12}{21} \]

Now we can subtract the two fractions:

\[ \frac{14}{21} - \frac{12}{21} = \frac{14 - 12}{21} = \frac{2}{21} \]

Thus, \( \frac{2}{3} - \frac{4}{7} = \frac{2}{21} \).