Chapter 8.3, Problem 11MCQ

To determine

To simplify: the expression

Answer to Problem 11MCQ

The value of the expression $\frac{3}{4m}+\frac{2}{3m{n}^2}-\frac{4}{n}$ is $\frac{9n^2+8-48mn}{12m{n}^2}$

Explanation of Solution

Given information: The expression is $\frac{3}{4m}+\frac{2}{3m{n}^2}-\frac{4}{n}$

Calculation:

From the expression $\frac{3}{4m}+\frac{2}{3m{n}^2}-\frac{4}{n}$

Take LCM of the both denominator

LCM $=12m{n}^2$

  $\frac{3}{4m}\times \frac{3n^2}{3n^2}+\frac{2}{3m{n}^2}\times \frac{4}{4}-\frac{4}{n}\times \frac{12mn}{12mn}$

Multiply the denominator and numerator by the values that will make the denominator

  $\frac{9n^2+8-48mn}{12m{n}^2}$