A medical assistant takes a patient's temperature. It reads 101°F. Which of the following is the patient's temperature in Celsius?
Understand the Problem
The question is asking to convert a temperature of 101°F to Celsius and identify the corresponding option from the provided choices.
Answer
The temperature is approximately \( 38.33 \)°C.
Answer for screen readers
The temperature in Celsius is approximately ( 38.33 )°C.
Steps to Solve
- Identify the temperature conversion formula
To convert from Fahrenheit (°F) to Celsius (°C), use the formula: $$ C = \frac{5}{9} \times (F - 32) $$ where ( F ) is the temperature in Fahrenheit.
- Substitute the given temperature into the formula
In this case, ( F = 101 )°F. Substitute this value into the formula: $$ C = \frac{5}{9} \times (101 - 32) $$
- Calculate the difference
Calculate ( 101 - 32 ): $$ 101 - 32 = 69 $$
- Multiply by the fraction
Now multiply the result by ( \frac{5}{9} ): $$ C = \frac{5}{9} \times 69 $$
- Calculate the final result
Perform the multiplication: $$ C = \frac{5 \times 69}{9} $$ Calculating ( 5 \times 69 = 345 ), so: $$ C = \frac{345}{9} $$ Now divide: $$ C \approx 38.33 $$
The temperature in Celsius is approximately ( 38.33 )°C.
More Information
This conversion is based on the widely used formula for converting temperatures between Fahrenheit and Celsius, which is applicable in many scientific and medical contexts. The temperature of ( 101 )°F is often considered a low-grade fever in humans.
Tips
- Confusing the temperature scales can lead to incorrect conversions; ensure you are using the right formula for Fahrenheit to Celsius.
- Forgetting to subtract ( 32 ) before multiplying by ( \frac{5}{9} ).
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