Yes, the product of two rational numbers is always a rational number.
Chat with our AI personalities
(x-y) + (xy - 1) = (x - 1)(y + 1)
Suppose the numbers are x and y. The sum of their reciprocals = 1/x + 1/y = y/xy + x/xy = (y+x)/xy = (x+y)/xy = 10/30 = 1/3
Xy/y = x
xy + x + y + 1 = (x + 1)(y + 1).
If both numbers are rational then x plus y is a rational number