(15x^4y^2z)/(20x^3)y A (3xz)/(4x) B (3z)/(4) C (3xyz)/(4) D

## Step 1: Simplify the numerical coefficients<br />### Divide both the numerator and the denominator by their greatest common divisor, which is 5. This simplifies the fraction $\frac{15}{20}$ to $\frac{3}{4}$.<br /><br />## Step 2: Simplify the x terms<br />### Using the quotient rule for exponents, $\frac{x^a}{x^b} = x^{a-b}$, we simplify $\frac{x^4}{x^3}$ to $x^{4-3} = x^1 = x$.<br /><br />## Step 3: Simplify the y terms<br />### Similarly, using the quotient rule for exponents, we simplify $\frac{y^2}{y^1}$ to $y^{2-1} = y^1 = y$.<br /><br />## Step 4: Combine the simplified terms<br />### Combining the simplified numerical coefficients, x terms, and y terms with the remaining z term, we get $\frac{3xyz}{4}$.