How do you simplify #\frac { 23x } { 69x } #?

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Answer 1 · 2017-09-08T00:27:33

#(23x)/(69x)=color(red)(1/3)#

#(23x)/(69x) = 23/69 xx x/x =23/69#

...and since #69=23xx3#

#(23x)/(69x)=23/69=1/3#

Answer 2 · 2017-09-08T00:30:01

See a solution process below:

First, cancel the common term out of the numerator and denominator:

#(23x)/(69x) => (23color(red)(cancel(color(black)(x))))/(69color(red)(cancel(color(black)(x)))) => 23/69#

Next, factor the denominator and cancel any common terms:

#23/69 => 23/(3 xx 23) => color(red)(cancel(color(black)(23)))/(3 xx color(red)(cancel(color(black)(23)))) => 1/3#