Chapter 45, Problem 1A

Solve $A-\frac{3}{4}=-2\frac{1}{8}$ using the addition principle of equality.

To determine

To solve the equation using the addition principle of equality.

Answer to Problem 1A

  $A=\frac{-11}{8}$.

Explanation of Solution

Given information:

The given equation is $A-\frac{3}{4}=-2\frac{1}{8}$.

Calculation:

We have been given equation as $A-\frac{3}{4}=-2\frac{1}{8}$.

  $\begin{array}{l}A-\frac{3}{4}=-2\frac{1}{8}\text{ {Applying the rule of addition equality}}\\ \Rightarrow A-\frac{3}{4}+\frac{3}{4}=-2\frac{1}{8}+\frac{3}{4}\text{ {Adding both sides by }\frac{3}{4}\text{ }}\\ \Rightarrow A=\frac{-17}{8}+\frac{3}{4}\\ \Rightarrow A=\frac{-17+6}{8}\\ \Rightarrow A=\frac{-11}{8}\end{array}$

Hence, the solution of the given equation is $A=\frac{-11}{8}$.