For this case, we have the following equation (according to the comments):

First, we factor the quadratic expression in the denominator:

Then, we multiply both sides of the equation by (a-2) (a + 2):

Later, canceling similar terms we have:

We do distributive property on the left side of the equation:

By grouping variables and constant terms we have:

Rewriting we have:

Finally, by clearing "a" we have:

Note: the value of a is a extraneous solution because it makes the denominator of the original equation equal to zero.
Answer:
the student correct, but the value of a= -2 is an extraneous solution
Negative is smallest so 4/5 is smallest
then comparre 5/6 to 7/9
make bottom number same
5/6 times 3/3=15/18
7/9 times 2/2=14/18
comare 15/18 to 14/18
15/18>14/19
therefor 7/9<5/6
order is
-4/5, 7/9, 5/6
Instead of distributing 2, we can actually divide both sides by 2:
x - 1 = 2x - 11
Isolate x:
x = 10
Answer:
960 calories for the 64 oz jug
Step-by-step explanation:
6 oz for 90 calories.
64 oz for ??? calories.
It's a ratio, 6:90
and 64:???
so 6 * 10 2/3 is 64.
so 90 * 10 2/3 is ???
960 is ???