If a and b are coprime positive integers such that
1/2+1/3+1/4+1/5=ab,
what is the value of a+b?
Naturally, a sum of a few small fractions cannot be the product of two integers, each greater than 1.
Now, if you meant a/b, then
1/2 + 1/3 + 1/4 + 1/5 = 77/60
a+b = 137