How do you evaluate #\frac { 45x - 36} { 8x - 56} \cdot \frac { 2x - 14} { 5x - 4}#?

1 Answer
sjc
Oct 9, 2017

#9/4#

Explanation:

firstly take out all common factors and cancel as much as possible

#(45x-36)/(8x-56)*(2x-14)/(5x-4)#

#=(9color(red)(cancel((5x-4))))/(8color(blue)(cancel((x-7))))(2color(blue)(cancel((x-7))))/color(red)cancel((5x-4))#

#=(9xxcancel(2)^1)/cancel(8)^4=9/4#

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