`(1/(2x-5)-7/(8x-20))/(x/(2x-5))` Simplify the complex fraction.

`(1/(2x-5)-7/(8x-20))/(x/(2x-5))`

`=(1/(2x-5)-7/(4(2x-5)))/(x/(2x-5))`

LCD of all the denominators in the complex fraction is `(2x-5)`

Multiply both the numerator and denominator of the complex fraction by LCD, and use the distributive property,

`=((2x-5)(1/(2x-5))-(2x-5)(7/(4(2x-5))))/((2x-5)(x/(2x-5)))`

Simplify,

`=(1-7/4)/x`

`=((4-7)/4)/x`

`=(-3/4)/x`

`=-3/(4x)`

Comments

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