Provide an Appropriate Response $.868686 \ldots$ To a Fraction by Writing It as the Infinite Series

question 345

Multiple Choice

Provide an appropriate response.
-Convert the decimal $.868686 \ldots$ to a fraction by writing it as the infinite series
$$\frac { 86 } { 100 } + \frac { 86 } { 100 ^ { 2 } } + \frac { 86 } { 100 ^ { 3 } } + \ldots$$

• A) \(0.87878788\)
• B) \(0.87\)
• C) \(\frac { 86 } { 99 }\)
• D) \(0.85\)

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Definitions:

Steam Temperature

Steam temperature is the temperature at which water vaporizes to become steam, varying based on pressure but typically around 100°C (212°F) at sea level.

Sterilized

Made free from all living microorganisms and their spores, typically through methods like autoclaving, irradiation, or chemical sterilization.

Vaginal Specula

Instruments used in medical procedures to dilate the vagina for examination of the vagina and cervix.

Autoclave

A device used to sterilize equipment and supplies by subjecting them to high-pressure saturated steam, essential for preventing infections.