Answer:
[tex]\frac{7}{12} + \frac{4}{6}q[/tex] or [tex]\frac{7}{12} + \frac{2}{3}q[/tex]
you can also flip the position the the fractions are in
[tex]\frac{4}{6}q + \frac{7}{12}[/tex] or [tex]\frac{2}{3}q + \frac{7}{12}[/tex]
Step-by-step explanation:
[tex]\frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3}[/tex]
first find the like terms
[tex]\frac{11}{12}- \frac{1}{3}[/tex]
↑
times it by [tex]\frac{4}{4}[/tex] to get [tex]\frac{4}{12}[/tex] to make the subtraction easier.
[tex]\frac{11}{12}- \frac{4}{12}[/tex]
and
[tex]\frac{5}{6} q} - \frac{1}{6} q[/tex]
now that they all have the same denominator,
subtract
[tex]\frac{11}{12}- \frac{4}{12}[/tex] = [tex]\frac{7}{12}[/tex]
and
[tex]\frac{5}{6} q} - \frac{1}{6} q[/tex] = [tex]\frac{4}{6} q[/tex]
add them together to get
[tex]\frac{7}{12} + \frac{4}{6}q[/tex]
you can simplify 4/6q to 2/3q
