The answer is [tex]\frac{13}{18}\\[/tex]
First, you need to find the least common denominator.
9: 9,18,27,...
6: 6,12,18,24,...
The LCF is 18.
[tex]\frac{5}{6}[/tex] = [tex]\frac{15}{18}[/tex]
[tex]\frac{1}{9}[/tex] = [tex]\frac{2}{18}[/tex]
Now that the denominator is the same, we can subtract the numerators.
[tex]\frac{15}{18} -\frac{2}{18} =\frac{13}{18}[/tex]
[tex]\frac{13}{18}[/tex] does not simplify, so we leave it as is.
The answer is [tex]\frac{13}{18}[/tex]
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