Question #24010

1 Answer
mimi
Nov 3, 2017

#-4/23#

Explanation:

We need to rewrite #5 3/4# (a mixed number) as an improper fraction in order to find its RECIPROCAL.

HOW TO CHANGE A MIXED NUMBER TO AN IMPROPER FRACTION: Multiply the denominator #(4)# by the whole number #(5)# & add the product to the numerator #(3)#. Make this number your new NUMERATOR over the original denominator #(4)#.

#5 3/4 = (4*5)+3 = 23 -> 23/4#

The RECIPROCAL is the "flipped" version of the fraction. Basically, the numerator and denominator switch places.

#23/4 ->4/23#

"Opposite" refers to the opposite sign (positive/negative).
Since #5 3/4# is POSITIVE, your answer will be NEGATIVE.

ANSWER: #-4/23#

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