Chapter 5.2, Problem 56E

To determine

To solve : the expression $\frac{120t^2}{140t^5}$

Answer to Problem 56E

The solution of expression $\frac{120t^2}{140t^5}$ is $\frac{6}{7t^3}$ .

Explanation of Solution

Given information :

Consider, the expression,

  $\frac{120t^2}{140t^5}$

The value of expression is:

  $\begin{array}{l}\frac{120t^2}{140t^5}\\ \frac{3\cdot 2\cdot 2\cdot 2\cdot 5\cdot t\cdot t}{7\cdot 2\cdot 5\cdot 2\cdot t\cdot t\cdot t\cdot t\cdot t}\left[\text{factor numerator and denominator}\right]\\ \frac{6}{7t^3}\left[\text{divide out common factor}\right]\end{array}$

Hence, the solution of expression $\frac{120t^2}{140t^5}$ is $\frac{6}{7t^3}$ .