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

1 Answer
Jun 20, 2017

Answer:

#g = -13/10 = -1 3/10#

Explanation:

Given: #5/12g + 2/3 = 1/8#

One of the easiest ways is to get rid of the fractions by multiplying everything by the common denominator #24#:

#24(5/12g + 2/3 = 1/8)#

Divide first, then multiply, it's easier:

#24/12 * 5g + 24/3 * 2 = 24/8 * 1#

#2 * 5g + 8 * 2 = 3 * 1#

#10g + 16 = 3#

Subtract #16# from both sides:
#10g = 3 - 16 #

#10g = -13#

Divide by 10:

#10/10g = -13/10#

#g = -13/10 = -1 3/10#

CHECK:

#5/12 * -13/10 + 2/3 = 1/8#

#-65/120 +2/3 = 1/8#

#-13/24 + 2/3 = 1/8#

#-13/24 + 2/3 * 8/8 = 1/8 * 3/3#

#-13/24 + 16/24 = 3/24# TRUE