Always look to see if you can simplify before plowing ahead with fractions. You didn't do anything wrong, but you're making life a bit harder for yourself than you need to. Here's what I would do:
Does that make things a bit easier?
I get the principle i.e. multiply denominators to find common denominator, add, factor, simplify. I've done loads of examples but for some reason I just can't get this one. I know it's relatively straight forward, I think my problems somewhere in the simplification/indices area.
I get as far as:-
At this point it all seems to get overly complicated.
Anybody break it down a bit for me?
Thanks, this was one of the many roads I started down, but never quite got to the end of. I can at least, get to the answer now,
but remain a bit unconvinced by my methodology.
Am I right in thinking
= A common denominator
In which case I only need to muliply each numerator by the 'missing' bit of the denominator, i.e.
and the same again for the other half?