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

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

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

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

$14x-13x=182$
$1x=182$
$x=182$

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