To compute \( \frac{6}{7} \div \frac{3}{5} \), we can use the rule that states dividing by a fraction is the same as multiplying by its reciprocal.
So, we have:
\[ \frac{6}{7} \div \frac{3}{5} = \frac{6}{7} \times \frac{5}{3} \]
Next, we multiply the numerators and the denominators:
\[ \frac{6 \times 5}{7 \times 3} = \frac{30}{21} \]
Now, we can simplify \( \frac{30}{21} \) by finding the greatest common divisor (GCD) of 30 and 21. The GCD is 3.
Now, divide both the numerator and the denominator by 3:
\[ \frac{30 \div 3}{21 \div 3} = \frac{10}{7} \]
Thus, the simplified answer is:
\[ \frac{10}{7} \]