Simplify the Complex Fraction $$\frac { x + 2 + \frac { 1 } { x } } { x + 4 + \frac { 3 } { x } }$$

question 72

Multiple Choice

Simplify the complex fraction.
- $$\frac { x + 2 + \frac { 1 } { x } } { x + 4 + \frac { 3 } { x } }$$

• A) \(\frac { ( x + 1 ) ^ { 2 } } { x + 3 }\)
• B) \(\frac { x ^ { 2 } + 2 x + 1 } { x ^ { 2 } + 4 x + 3 }\)
• C) \(\frac { x + 1 } { x ^ { 2 } + 3 x }\)
• D) \(\frac { x + 1 } { x + 3 }\)

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Definitions:

Seamstress

A person, typically a woman, who sews, especially one who makes their living by sewing.

Fixed-Ratio Schedule

A schedule of reinforcement where a response is reinforced only after a specified number of responses, commonly used in behavior analysis.

Variable-Ratio Schedule

A reinforcement schedule used in operant conditioning that rewards a response after an unpredictable number of responses, leading to high and steady response rates.

Continuous Schedule

In operant conditioning, a reinforcement schedule where every instance of the desired behavior is rewarded.