Subtract $\frac{6}{7}$ from $\frac{4}{3}$.

Step 1 ：Subtract \(\frac{6}{7}\) from \(\frac{4}{3}\).

Step 2 ：We need to find a common denominator for the two fractions. The common denominator of 7 and 3 is 21.

Step 3 ：Convert both fractions to have this common denominator and then subtract them.

Step 4 ：\(\frac{4}{3}\) becomes \(\frac{28}{21}\) and \(\frac{6}{7}\) becomes \(\frac{18}{21}\).

Step 5 ：Subtract \(\frac{18}{21}\) from \(\frac{28}{21}\) to get \(\frac{10}{21}\).

Step 6 ：Final Answer: The result of subtracting \(\frac{6}{7}\) from \(\frac{4}{3}\) is \(\boxed{\frac{10}{21}}\).