One way to answer equations with fractions is to break them apart first. a/9a-2=1/8
Multiply 9a-2 to both sides because they are division. Cancel the left side to get a=1(9a-2)/8.
Now, multiply the 8 to both sides because they are also division. 8a=9a-2.
Isolate the variable using the additive inverse property. 8a[-9a]=9a[-9a]-2 -a=-2 or a=2
The key for me is to break apart the "division" part of the problem first by multiplying both sides to cancel or create an (A/A or 1) on that side. How are they put together? Do the opposite process to break them apart. Division-Multiplication, Addition-Subtraction. Make sure whatever you do to one side of the equation, do to the other.