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

Answer 1

Eva Adamson

#x=-7/6#

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

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

Find the common factor.

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

Reduce complexity,

#x/2=-7/12#

Divide both sides by two.

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

Cut down to the ultimate response of,

#x=-7/6#

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Answer 2

Genesis Allen

Multiply all the terms by the least common denominator.

2, 4, and 6 have an LCM of 12.

All of the terms multiply by 12 to get

# 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#

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Answer 3

Eva Abramson

To solve the equation 1/2x + 3/4 = 1/6 by clearing the fractions, you can follow these steps:

Find the least common denominator (LCD) of the fractions involved, which is 12.
Multiply each term in the equation by 12 to eliminate the fractions.
After clearing the fractions, solve the resulting equation for x.

Here's the step-by-step process:

1/2x + 3/4 = 1/6

Multiply each term by 12:

12 * (1/2x) + 12 * (3/4) = 12 * (1/6)

6x + 9 = 2

Subtract 9 from both sides:

6x = 2 - 9

6x = -7

Divide both sides by 6:

x = -7/6

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.