How do you solve $5/12g+2/3=1/8$ ?

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Answer 1 · 2017-03-12T23:23:24

See the entire solution process below:

First, multiply both sides of the equation by $color(red)(24)$ to eliminate the fractions while keeping the equation balanced:

$color(red)(24)(5/12g + 2/3) = color(red)(24) xx 1/8$

$(color(red)(24) xx 5/12g) + (color(red)(24) xx 2/3) = cancel(color(red)(24))3 xx 1/color(red)(cancel(color(black)(8)))$

$(cancel(color(red)(24))2 xx 5/color(red)(cancel(color(black)(12)))g) + (cancel(color(red)(24))8 xx 2/color(red)(cancel(color(black)(3)))) = 3$

$10g + 16 = 3$

Next, subtract $color(red)(16)$ from each side of the equation to isolate the $g$ term while keeping the equation balanced:

$10g + 16 - color(red)(16) = 3 - color(red)(16)$

$10g + 0 = -13$

$10g = -13$

Now, divide each side of the equation by $color(red)(10)$ to solve for $g$ while keeping the equation balanced:

$(10g)/color(red)(10) = -13/color(red)(10)$

$(color(red)(cancel(color(black)(10)))g)/cancel(color(red)(10)) = -13/10$

$g = -13/10$

How do you solve 5/12g+2/3=1/85/12g+2/3=1/8?