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:

Obsessions

Persistent, unwanted thoughts or urges that cause distress or anxiety.

Offensive

Relating to something that causes someone to feel hurt, angry, or upset; also can refer to an attacking action in a military or sports context.

Persistently Preoccupy

To occupy the mind continuously or for a prolonged period with a particular thought or problem, making it difficult to focus on other things.

Obsessive-Compulsive Disorder

A mental disorder where people feel the need to check things repeatedly, perform certain routines repetitively, or have certain thoughts persistently.