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How do write in simplest form given #-1/12-(-3/4)#?

Answer 1

Riley Anderson

#-1/12 - (-3/4) = 2/3#

Get a common denominator.

#12# is the least common denominator, so multiply:

# -3/4 xx 3/3#, which is the same as multiplying by #1#.

You get #-9/12.#

Simplify:

#-1/12 - (-9/12)larr# NOTE: multiplying 2 negatives = positive

#= -1/12 + 9/12#

(Add numerators now that there is a common denominator.)

#= 8/12#

Simplify.

Divide each by #4# to get a final answer of #2/3.#

#-1/12 - (-3/4) = 2/3#

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Answer 2

Zoe Adams

To simplify (-\frac{1}{12} - \left(-\frac{3}{4}\right)), you need to perform subtraction:

[ -\frac{1}{12} - \left(-\frac{3}{4}\right) ]

To subtract a negative number, you change the subtraction to addition and change the sign of the second number:

[ -\frac{1}{12} + \frac{3}{4} ]

To add these fractions, they need to have a common denominator. The least common denominator (LCD) is 12:

[ -\frac{1}{12} + \frac{9}{12} ]

[ = -\frac{1 + 9}{12} ]

[ = -\frac{10}{12} ]

Now, you can simplify the fraction:

[ = -\frac{5}{6} ]

So, ( -\frac{1}{12} - \left(-\frac{3}{4}\right) ) simplifies to ( -\frac{5}{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.