Chapter 8.3, Problem 2MRE

To determine

To calculate: The simplified form of $-5=\frac{9b}{4}$ .

Answer to Problem 2MRE

The simplified form of $-5=\frac{9b}{4}$ is $\frac{-20}{9}$ .

Explanation of Solution

Given information:

The statement “ $-5=\frac{9b}{4}$ .”

Formula used:

When two or more functions are in the form as, the constant is equal to the function then the denominator is multiplies to the numerator,as a cross multiplication is done here.

Consider the provided statement “ $-5=\frac{9b}{4}$ .”

Recall thatWhen two or more functions are in the form as, the constant is equal to the function then the denominator is multiplied to the numerator,as a cross multiplication is done here.

So, the given expression can be simplified as,

  $\begin{array}{c}-5=\frac{9b}{4}\\ -20=9b\\ -\frac{20}{9}=b\end{array}$

Since, $-\frac{20}{9}$ cannot be simplified further,

Hence, the simplified form of $-5=\frac{9b}{4}$ is $-\frac{20}{9}$ .