Answer:
[tex]\frac{3}{2}[/tex] a
Step-by-step explanation:
Given
a - [tex]\frac{a}{4}[/tex] + [tex]\frac{3}{4}[/tex] a
Collect the terms by adding their coefficients, that is
1 - [tex]\frac{1}{4}[/tex] + [tex]\frac{3}{4}[/tex]
= [tex]\frac{4}{4}[/tex] - [tex]\frac{1}{4}[/tex] + [tex]\frac{3}{4}[/tex] = [tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
Thus
a - [tex]\frac{a}{4}[/tex] + [tex]\frac{3}{4}[/tex] a = [tex]\frac{3}{2}[/tex] a
