Step 1 :Given the problem is \(\frac{3}{4} \div \frac{3}{7}\)
Step 2 :Remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
Step 3 :So, we need to multiply \(\frac{3}{4}\) by the reciprocal of \(\frac{3}{7}\), which is \(\frac{7}{3}\).
Step 4 :Performing the multiplication gives us the final answer.
Step 5 :Final Answer: \(\boxed{1.75}\)