Question

Its saying 8/9= w-2 over 6 and the the problem says what is w and then shows improper fractions

Answer 1

$\frac{8}{9}\text{ = }\frac{w-2}{6}$

To solve this problem we ned to isolate the "w" variable on the left side of the equation, as shown below:

$\begin{gathered} \frac{8}{9}\text{ = }\frac{w}{6}\text{ - }\frac{2}{6} \\ \frac{8}{9}\text{ + }\frac{2}{6}\text{ = }\frac{w}{6} \\ \frac{w}{6}\text{ = }\frac{2\cdot8\text{ + 3}\cdot2}{18} \\ \frac{w}{6}\text{ = }\frac{16+6}{18} \\ \frac{w}{6}\text{ = }\frac{22}{18} \\ w\text{ =}\frac{6\cdot22}{18}\text{ = }\frac{22}{3} \end{gathered}$

The correct answer is the second option.