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How do you simplify #(3x)/4-(5x)/6#?

Answer 1

Genesis Allen

#(3x)/4-(5x)/6=-x/12#

#(3x)/4-(5x)/6#

#color(red)(3/3)*(3x)/4-color(blue)(*2/2)(5x)/6#

#(9x)/12-(10x)/12#

#(9x-10x)/12#

#-x/12#

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Answer 2

Genesis Allen

#-x/12#

Before subtracting the fractions we require them to have a #color(blue)"common denominator"#

Multiplying the numerator/denominator of #(3x)/4# by 6 and

#(5x)/6# by 4 will ensure this.

#((3x)/4xx6/6)-((5x)/6xx4/4)#

#=(18x)/24-(20x)/24#

Now there is a common denominator we can subtract the numerators leaving the denominator as it is.

#=(-2x)/24=-(cancel(2)^1 x)/cancel(24)^12=-x/12#

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Answer 3

Kennedy Adams

To simplify (3x)/4 - (5x)/6, we need to find a common denominator for the fractions. The common denominator is 12.

Multiplying the first fraction by 3/3 and the second fraction by 2/2, we get:

(9x)/12 - (10x)/12

Now, we can subtract the fractions:

(9x - 10x)/12

Simplifying further:

(-x)/12

Therefore, the simplified form of (3x)/4 - (5x)/6 is (-x)/12.

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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.