Question

Evaluate 1+(-2/3)-(-m)where m = 9/2

Answer 1

Answer:

29/6

Step-by-step explanation:

The expression that we have to evaluate in this problem is

$1+(-\frac{2}{3}) -(-m)$

for $m=\frac{9}{2}$.

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

$1-\frac{2}{3}+m$

Also, we can combine the two numerical terms:

$1-\frac{2}{3}=\frac{3}{3}-\frac{2}{3}=\frac{1}{3}$

Therefore the expression becomes

$\frac{1}{3}+m$

Now we can substitute $m=\frac{9}{2}$, and we find:

$\frac{1}{3}+\frac{9}{2}=\\\frac{2}{6}+\frac{27}{6}=\\\frac{2+27}{6}=\frac{29}{6}$