Answer
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Step 1:I'll solve this temperature conversion problem step by step using the correct LaTeX formatting:
Step 2:: Recall the formula for converting Fahrenheit to Celsius
- $$T_{F}$$ is the temperature in Fahrenheit
The conversion formula is: Where:
Step 3:: Substitute the given temperature
T_{F} = 100.2
Step 4:: Apply the conversion formula
T_{C} = \frac{5}{9}(100.2 - 32)
Step 5:: Calculate the value inside the parentheses
T_{C} = \frac{5}{9}(68.2)
Step 6:: Multiply
T_{C} = \frac{5 \times 68.2}{9}
Step 7:: Calculate the final result
T_{C} = \frac{341}{9} = 37.89
Final Answer
100.2 \,^\circ \text{F} = 37.89 \,^\circ \text{C}
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