Answer:
a = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
When working with fractions, I would mostly like to make the denominators the same first.
[tex]\frac{2}{3}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{3}[/tex]
Make all the denominators 6.
[tex]\frac{4}{6}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{2}{6}[/tex]
Isolate [tex]\frac{4}{6}[/tex]a.
[tex]\frac{4}{6}[/tex]a = [tex]\frac{2}{6}[/tex] + [tex]\frac{1}{6}[/tex]
= [tex]\frac{3}{6}[/tex]
Find a.
[tex]\frac{6}{6}[/tex]a = [tex]\frac{6}{4}[/tex] × [tex]\frac{3}{6}[/tex]
a = [tex]\frac{3}{4}[/tex]