Chapter 6, Problem 8PSQ

To determine

To write : the fraction in simplest form

Answer to Problem 8PSQ

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

Explanation of Solution

Given information :

Consider, the fraction

  $\frac{14x^2{y}^2}{35x{y}^2}$

Calculation:

Therefore, the solution of fraction is

  $\begin{array}{l}\frac{14x^2{y}^2}{35x{y}^2}\\ \frac{14x^2{y}^3÷7x{y}^2}{35x{y}^2÷7x{y}^2}\left[\text{divide both the numerator and dinomerator with 7}x{y}^2\right]\\ \frac{2xy}{5}\end{array}$

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