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

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Answer 1 · 2018-03-09T10:21:06

#-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#