Chapter 6.7, Problem 1ST

To determine

To simplify: the expression $3-\frac{8}{y}$ .

Answer to Problem 1ST

  $\frac{3y-8}{y}$ .

Explanation of Solution

Given information:

  $3-\frac{8}{y}$

Formula used:

A fraction can be simplified by factoring its numerator and its denominator and dividing each by their common factors.

Subtraction Rule used with fractions:

  $\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

Calculation:

Consider ,

  $3-\frac{8}{y}$

Our objective is to make the same denominator.

Now,

  $\begin{array}{l}=\left(\frac{3}{1}\times \frac{y}{y}\right)-\left(\frac{8}{y}\times \frac{1}{1}\right)\\ =\frac{3y-8}{y}\end{array}$

Thus, the solution is $\frac{3y-8}{y}$ .