Simplify ((3x)/8)÷((7y)/4)

$\frac{3 x}{8} \div \frac{7 y}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3 x}{8} \cdot \frac{4}{7 y}$

Step 2

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$\frac{3 x}{4 (2)} \cdot \frac{4}{7 y}$

Cancel the common factor.

$\frac{3 x}{4 \cdot 2} \cdot \frac{4}{7 y}$

Rewrite the expression.

$\frac{3 x}{2} \cdot \frac{1}{7 y}$

Step 3

Multiply $\frac{3 x}{2}$ by $\frac{1}{7 y}$ .

$\frac{3 x}{2 (7 y)}$

Step 4

Multiply $7$ by $2$ .

$\frac{3 x}{14 y}$