Respuesta :

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]