Answer
$\frac{5y}{2}$
Work Step by Step
We will simplify the expression by canceling out the common factors:
$\frac{3x}{7y}\div\frac{6x}{35y^{2}}$
=$\frac{3x}{7y}\times\frac{35y^{2}}{6x}$
=$\frac{1x}{7y}\times\frac{35y^{2}}{2x}$
=$\frac{1x}{1y}\times\frac{5y^{2}}{2x}$
=$\frac{1}{1y}\times\frac{5y^{2}}{2}$
=$\frac{1}{1}\times\frac{5y^{2-1}}{2}$
=$\frac{5y^{1}}{2}$
=$\frac{5y}{2}$