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Step 1:I'll solve this temperature conversion problem step by step, following the specified LaTeX formatting guidelines:
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} = 102°F
Step 4:: Apply the conversion formula
T_{C} = \frac{5}{9}(102 - 32)
Step 5:: Solve the calculation inside the parentheses
T_{C} = \frac{5}{9}(70)
Step 6:: Multiply
T_{C} = \frac{5 \times 70}{9}
Step 7:: Calculate the final result
T_{C} = \frac{350}{9} = 38.89°C
Final Answer
102°F = 38.89°C
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