Question #24010

1 Answer
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