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

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

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Answer 1 · 2017-12-06T02:43:26

$x = 182$ $x=182$

Explanation:

$\frac{x}{13} - \frac{x}{14} = 1$ $x/13-x/14=1$

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

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

$\frac{x \cdot 14}{13 \cdot 14} - \frac{x \cdot 13}{14 \cdot 13} = 1$ $(xcolor(blue)*color(blue)14)/(13color(blue)*color(blue)14)-(xcolor(blue)*color(blue)13)/(14color(blue)*color(blue)13)=1$

$\frac{14 x}{182} - \frac{13 x}{182} = 1$ $(14x)/182-(13x)/182=1$

$182 (\frac{14 x}{182} - \frac{13 x}{182}) = (1) 182$ $color(red)182((14x)/182-(13x)/182)= (1)color(red)182$

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

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

1 Answer

Explanation:

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How do you solve x13−x14=1\frac { x } { 13} - \frac { x } { 14} = 1?

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