Chapter 9.6, Problem 8MRE

To determine

To find: the solution of the given equation by simplifying the equation.

Answer to Problem 8MRE

The value of the given equation is $\frac{\text{p+2}}{\text{24}}$.

Explanation of Solution

Given:

  $\frac{\text{3p+2}}{\text{8}}\text{-}\frac{\text{2p+1}}{\text{6}}$

Concept used:

To make the equal denominator of the fraction it must be done finding its lowest common multiple.

Calculation:

According to the given equation:

  $\frac{\text{3p+2}}{\text{8}}\text{-}\frac{\text{2p+1}}{\text{6}}$.

Solving the equation by using L.C..M:

  $\frac{3\left(\text{3p+2}\right)\text{-4}\left(\text{2p+1}\right)}{24}$.

Subtract to write as one fraction.

  $\frac{\text{9p+6-8p-4}}{\text{24}}$.

Distribute:

  $\frac{\text{p+2}}{\text{24}}$.

Hence the value of the given equation is $\frac{\text{p+2}}{\text{24}}$.