Simplify the following:

Question

Simplify:

1.         ((1/x)+4)/((1/x)-2)

Answer 1

The numerator

(1 + 4x) / x

The deminator

(1 - 2x) / x

The fraction

(1 + 4x) / x ÷ (1 - 2x) / x

(1 + 4x) / x · x / (1 - 2x)         divide by fraction, invert and multiply

(1 + 4x) / (1 - 2x)