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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 degrees Fahrenheit
The conversion formula is: Where:
Step 3:: Substitute the given temperature
We'll plug in $$T_{F} = -15$$ into the conversion formula:
T_{C} = \frac{5}{9}(- 15 - 32)
Step 4:: Solve the calculation inside the parentheses
T_{C} = \frac{5}{9}(-47)
Step 5:: Multiply the fractions
T_{C} = -\frac{5 \times 47}{9}
Step 6:: Calculate the final result
T_{C} = -\frac{235}{9} = -26.1111
Final Answer
- 15∘F is equal to - 26.1∘C.
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