Answer:
29/6
Step-by-step explanation:
The expression that we have to evaluate in this problem is
[tex]1+(-\frac{2}{3}) -(-m)[/tex]
for [tex]m=\frac{9}{2}[/tex].
First of all, we re-arrange the expression. We know that:
- The product of a positive number (+) and a negative number (-) is negative (-)
- The product of a negative number (-) and a negative number (-) is positive (+)
So we can rewrite the expression as
[tex]1-\frac{2}{3}+m[/tex]
Also, we can combine the two numerical terms:
[tex]1-\frac{2}{3}=\frac{3}{3}-\frac{2}{3}=\frac{1}{3}[/tex]
Therefore the expression becomes
[tex]\frac{1}{3}+m[/tex]
Now we can substitute [tex]m=\frac{9}{2}[/tex], and we find:
[tex]\frac{1}{3}+\frac{9}{2}=\\\frac{2}{6}+\frac{27}{6}=\\\frac{2+27}{6}=\frac{29}{6}[/tex]
