Answer:
z= 4/3
Step-by-step explanation:
To solve z - 4/9 - 1/3 = 5/9 first we observe that two of the fractions have 9 as a denominator and one has 3 as a denominator. So we can transform 1/3 into a fraction with denominator equal to 9.
We do this by multiplying both numerator and denominator by 3 and we get.
[tex]\frac{1}{3} =\frac{3}{9}[/tex]
Now our expression is z - 4/9 - 3/9 = 5/9
To solve for z we need to take all the terms but the z to the right side with the opposite sign and sum up those terms.
[tex]z-\frac{4}{9}-\frac{3}{9}=\frac{5}{9} \\ z= \frac{5}{9}+\frac{4}{9}+\frac{3}{9}\\ z=\frac{12}{9} \\z=\frac{4}{3}[/tex]
Thus, z = 4/3
