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QuestionPhysics

Convert 97.7 °F to °C.
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Answer

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Step 1:
I'll solve this temperature conversion problem step by step, following the specified LaTeX and 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_{C} = \frac{5}{9}(97.7 - 32)
Plug in 97.7 °F into the formula:

Step 4:
: Solve the calculation inside the parentheses

T_{C} = \frac{5}{9}(65.7)

Step 5:
: Multiply

T_{C} = \frac{5 \times 65.7}{9}

Step 6:
: Calculate the final result

T_{C} = \frac{328.5}{9} = 36.5

Final Answer

97.7 °F = 36.5 °C