Simplify the following:
(6-1/x)/(1/x)
Multiply the numerator of (6-1/x)/(1/x) by the reciprocal of the denominator. (6-1/x)/(1/x) = (6-1/x) x:
x (6-1/x)
Put each term in 6-1/x over the common denominator x: 6-1/x = (6 x)/x-1/x:
(6 x)/x-1/x x
(6 x)/x-1/x = (6 x-1)/x:
(6 x-1)/x x
((6 x-1) x)/x = x/x×(6 x-1) = 6 x-1:
Answer: | 6 x-1
