First, we're going to find the LCD, Least Common Denominator, of both fractions.
9- 9, 18, 27, 36.
18- 18, 36, 54, 72.
As you can see, 18 is the LCD of both fractions.
Then we're going to multiply both the fractions to get the denominator the same.
[tex] \frac{8}{9} [/tex] x 2 = [tex] \frac{16}{18} [/tex]
[tex] \frac{13}{18} [/tex] x 1 = [tex] \frac{13}{18} [/tex]
*Remember, whatever you do to the top, you do to the bottom.*
**Do not follow the rule above if you are not making the denominators the same.**
Now we're going to subtract [tex] \frac{16}{18} [/tex] by [tex] \frac{13}{18} [/tex]
[tex] \frac{16}{18} [/tex] - [tex] \frac{13}{18} [/tex] = [tex] \frac{3}{18} [/tex]
Then, we're going to simplify it.
[tex] \frac{3}{18} [/tex] / 3 = [tex] \frac{1}{6} [/tex]
This is how we get our answer, [tex] \frac{1}{6} [/tex]
Our final answer is [tex] \frac{1}{6} [/tex]
Hope this helps!~
