Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
Firstly, we need to find a common denominator. I used 36
Next we can convert each fraction to that demoninator
[tex]\frac{2}{9} *\frac{4}{4} =\frac{8}{36} \\\\\frac{1}{12} *\frac{3}{3} =\frac{3}{36}\\\\\frac{1}{4} * \frac{9}{9}=\frac{9}{36}[/tex]
Next we can add all of these fractions together.
[tex]\frac{8}{36} +\frac{3}{36} +\frac{9}{36} =\frac{20}{36} =\frac{5}{9}[/tex]
Lastly, we can subtract this fraction from 1 to find our answer
[tex]1-\frac{5}{9} =\frac{4}{9}[/tex]
