Question

Write the fraction in simplest form.

$\frac{14x^2{y}^3}{35x{y}^2}$

Short answer

The simplest form of $\frac{14x^2{y}^2}{35x{y}^2}$is$\frac{2xy}{5}$ .

Step-by-step solution

. Given

The given fraction is$\frac{14x^2{y}^2}{35x{y}^2}$ .

. To determine

We have to convert the fraction in the simplest form.

. Calculation

The common factor of$14x^2{y}^2$and$35x{y}^2$is =$\text{7}x{y}^2$. So, we will divide both numerator and denominator by$\text{7}x{y}^2$$\text{7}x{y}^2$.

$\begin{array}{l}\frac{14x^2{y}^2}{35x{y}^2}\\ =\frac{14x^2{y}^3÷7x{y}^2}{35x{y}^2÷7x{y}^2}\left[\text{divideboththenumeratoranddinomeratorwith7}x{y}^2\right]\\ =\frac{2xy}{5}\end{array}$

So, the simplest form of $\frac{14x^2{y}^2}{35x{y}^2}$is$\frac{2xy}{5}$ .