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

Question

Eva Adamson · Accepted Answer

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#

Nathan Axel · Answer

undefined To solve the equation $ \frac{5}{12}g + \frac{2}{3} = \frac{1}{8} $, follow these steps:

1. Subtract $ \frac{2}{3} $ from both sides of the equation.
2. Multiply both sides of the equation by $ 12 $ to clear the fraction in $ \frac{5}{12}g $.
3. Solve for $ g $ by dividing both sides of the equation by $ \frac{5}{12} $.

The solution is $ g = -\frac{9}{5} $.