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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
- $$F$$ is the temperature in Fahrenheit
The conversion formula is: Where:
Step 3:: Substitute the given temperature
We'll plug in 102 for $$F$$:
C = \frac{5}{9}(102 - 32)
Step 4:: Solve the calculation inside the parentheses
C = \frac{5}{9}(70)
Step 5:: Multiply
C = \frac{5 \times 70}{9}
C = \frac{350}{9}
Step 6:: Perform the final division
C = 38.89
Final Answer
102 degrees Fahrenheit is equal to 38.89 degrees Celsius.
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