# Math Help - Arithmetic with * Operations

1. ## Arithmetic with * Operations

If
a * b is defined as “half the average of a and b”, determine the positive
difference between: (3 * 5) * 6 and 3 * (5 * 6). Express answer as a fraction in

simplest form or as an exact decimal.

2. If
a * b is defined as “half the average of a and b”, determine the positive
difference between: (3 * 5) * 6 and 3 * (5 * 6). Express answer as a fraction in

simplest form or as an exact decimal.

If
$a*b=\frac{1}{2}(\frac{a+b}{2})$
Then $a*b=\frac{a+b}{4}$

So
$3*5=\frac{3+5}{4}=2$
And $2*6=\frac{2+6}{4}$

The rest should follow.