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QuestionPhysics

What is 98 °F in °C?
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Answer

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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 temperature conversion formula

T_{°C} = \frac{5}{9}(T_{°F} - 32)
The formula to convert Fahrenheit (°F) to Celsius (°C) is:

Step 3:
: Substitute the given temperature

T_{°C} = \frac{5}{9}(98 - 32)
Let's plug in 98 °F into the formula:

Step 4:
: Solve the subtraction inside the parentheses

T_{°C} = \frac{5}{9}(66)

Step 5:
: Multiply

T_{°C} = \frac{5 \times 66}{9}

Step 6:
: Calculate the final result

T_{°C} = \frac{330}{9} = 36.67

Final Answer

98 °F is equal to 36.7 °C (rounded to one decimal place).