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Step 1:I'll solve this temperature conversion problem step by step using the precise LaTeX formatting guidelines you specified.
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_{C} = \frac{5}{9}(99.8 - 32)
We'll plug in 99.8°F into the formula:
Step 4:: Solve the calculation inside the parentheses
T_{C} = \frac{5}{9}(67.8)
Step 5:: Multiply
T_{C} = \frac{5 \times 67.8}{9}
Step 6:: Calculate the final result
T_{C} = \frac{339}{9} = 37.7
Final Answer
99.8°F = 37.7°C
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