Question

Question #24010

Answer 1

`-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`