Question

Divide by $11x{y}^2{z}^3$ by $55xyz$

• A. $\frac{2}{5}y{z}^2$
• B. $\frac{1}{5}y{z}^2$
• C. $\frac{1}{5}yz$
• D. None

Answer 1

The correct option is B $\frac{1}{5}y{z}^2$

We divide the given monomial $11x{y}^2{z}^3$ by $55xyz$ as shown below:

$\frac{11x{y}^2{z}^3}{55xyz}=\frac{11}{55}\times \frac{x{y}^2{z}^3}{xyz}=\frac{11}{11\times 5}\times \frac{x\times y\times y\times z\times z\times z}{x\times y\times z}=\frac{1}{5}\times \frac{y{z}^2}{1}=\frac{1}{5}y{z}^2$

Hence, $\frac{11x{y}^2{z}^3}{55xyz}=\frac{1}{5}y{z}^2$.