How do you solve #1/2x+3/4=1/6# by clearing the fractions?

2 Answers
Apr 5, 2017

Answer:

#x=-7/6#

Explanation:

First subtract #3/4# from both sides giving you,

#x/2=1/6-3/4#

Find common denominator,

#x/2=2/12-9/12#

Simplify,

#x/2=-7/12#

Multiply both sides by 2,

#x=2*(-7/12)=-14/12#

Reduce for the final answer of,

#x=-7/6#

Apr 5, 2017

Answer:

Multiply all the terms by the least common denominator.

Explanation:

The LCM of 2,4,and 6 is 12

Multiplying all of the terms by 12 results in

# 12 xx 1x/2 + 12 xx 3/4 = 12 xx 1/6# This gives
h
# 6x + 9 = 2# subtract 9 from both sides gives

# 6x + 9-9 = 2 -9 # which results in

# 6x = -7 # divide both sides by 6

# 6x/6 = -7 /6 #

# x = - 7/6#