pre algrebra
posted by mary .
simplify one half plus two thirds divided by three fourths

If you verbalize an arithmetic calculation rather than using symbols, you lose the correct sequence of operations
e.g. If I say
What is 3 plus 8 divided by 4
is it (3+8)/4 or 3 + 8/4 ? different answers!
I will suppose it is the usual BEDMAS rule
1/2 + (2/3) รท (3/4)
= 1/2 + (2/3)(4/3)
= 1/2 + 8/9
= 9/18 + 16/18
= 25/18