Question

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

Answer 1

See the entire solution process below:

Explanation:

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`