To compute \( \frac{6}{7} \div \frac{3}{5} \), you can multiply by the reciprocal of the second fraction. The reciprocal of \( \frac{3}{5} \) is \( \frac{5}{3} \).
So, the computation becomes:
\[ \frac{6}{7} \times \frac{5}{3} \]
Now, multiply the numerators and the denominators:
\[ = \frac{6 \times 5}{7 \times 3} = \frac{30}{21} \]
Next, we simplify \( \frac{30}{21} \). The greatest common divisor (GCD) of 30 and 21 is 3. Divide both the numerator and denominator by 3:
\[ \frac{30 \div 3}{21 \div 3} = \frac{10}{7} \]
Thus, the final answer is:
\[ \frac{10}{7} \]
This cannot be simplified further, and it can also be expressed as a mixed number:
\[ 1 \frac{3}{7} \]
So, the simplified answer is \( \frac{10}{7} \) or \( 1 \frac{3}{7} \).