X/y - y/x / 1/x +1/y

Simplify the expression, treating division with left-to-right precedence:

Expression: x/y - (y/x)/(1/x) + 1/y

• (y/x)/(1/x) = (y/x) * (x/1) = y (requires x ≠ 0)
• So becomes: x/y - y + 1/y
• Combine: (x/y + 1/y) - y = (x+1)/y - y
• Or as a single fraction: (x+1 - y^2)/y

Answer: (x+1 - y^2)/y, with x ≠ 0 and y ≠ 0.