Find a Counterexample to Show That the Following Statement Is $\text { For all nonzero real numbers } a , b , c \text { and } d , \frac { a } { b } + \frac { c } { d } = \frac { a + c } { b + d } \text {. }$

question 25

Essay

Find a counterexample to show that the following statement is false: $\text { For all nonzero real numbers } a , b , c \text { and } d , \frac { a } { b } + \frac { c } { d } = \frac { a + c } { b + d } \text {. }$

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Definitions:

Semicircular Canals

Structures within the inner ear that are key to the vestibular system, helping maintain balance and spatial orientation.

Ampulla

A dilated section of a canal or duct, such as the ampulla of Vater in the digestive system, which aids in the digestion process by releasing bile and pancreatic juices into the small intestine.

Ossicles

The three small bones in the middle ear called the malleus, incus, and stapes, which help in transmitting sound vibrations to the inner ear.

Malleus

Bone found in the middle ear that assists in the transmission of sound to the inner ear; also called the hammer.