human16 human16
  • 04-01-2021
  • Mathematics
contestada

I need to simplify the complex fraction.​

I need to simplify the complex fraction class=

Respuesta :

aboouthaymeen5 aboouthaymeen5
  • 09-01-2021

Answer:

(15 – 22x)/4x(2x – 5)

Step-by-step explanation:

Let us take the numerator first:

(1/2x – 5) – (7/8x – 20) = (1/(2x – 5)) – (7/4(2x –5)) = (8x – 20 – 7(2x – 5))/(4(2x – 5)(2x – 5)

= (8x – 20 – 14x + 35)/4(2x – 5)² = (15 – 22x)/4(2x – 5)²

The denominator is: x/2x – 5

So we now have:

(15 – 22x)/4(2x – 5)² ÷ x/(2x – 5) = (15 – 22x)/4(2x – 5)² x (2x – 5) /X = (15 – 22x)/4x(2x – 5)

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