How do you solve #\frac { x } { 13} - \frac { x } { 14} = 1#?

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Answer 1 · 2017-12-06T02:43:26

#x=182#

#x/13-x/14=1#

Find any common denominator of 13 and 14.
I always use the simplest and just multiply them together to get a common demoninator
#13*14=182#

Multiply each fraction by '1' so they have the same denominator

#(xcolor(blue)*color(blue)14)/(13color(blue)*color(blue)14)-(xcolor(blue)*color(blue)13)/(14color(blue)*color(blue)13)=1#

#(14x)/182-(13x)/182=1#

#color(red)182((14x)/182-(13x)/182)= (1)color(red)182 #

#14x-13x=182#
#1x=182#
#x=182#