Express as a single fraction in its simplest form:

(x+7)/4x- (3x+2)/2x

1 answer

To express as a single fraction, we need to find a common denominator.

The common denominator for 4x and 2x is 4x.

Therefore, we can rewrite the expression as:
[(x+7)(2x) - (3x+2)(4x)] / (4x * 2x)

Expanding the parentheses, we have:
(2x^2 + 14x - 12x^2 - 8x) / (8x^2)

Combining like terms, we get:
(-10x^2 + 6x) / (8x^2)

This fraction is already in its simplest form.