Fahrenheit To Celsius
1. The problem is to convert a temperature from Fahrenheit to Celsius. Given the temperature $100.7^\circ F$, we want to find the equivalent in Celsius $^\circ C$.
2. Recall the formula to convert Fahrenheit ($F$) to Celsius ($C$):
$$ C = \frac{5}{9} (F - 32) $$
3. Substitute the given temperature into the formula:
$$ C = \frac{5}{9} (100.7 - 32) $$
4. Calculate the difference inside the parentheses:
$$ 100.7 - 32 = 68.7 $$
5. Now, multiply by $\frac{5}{9}$:
$$ C = \frac{5}{9} \times 68.7 = \frac{5 \times 68.7}{9} $$
6. Compute the numerator:
$$ 5 \times 68.7 = 343.5 $$
7. Finally, divide by 9:
$$ C = \frac{343.5}{9} = 38.166... $$
8. Round to a reasonable precision, for example to one decimal place:
$$ C \approx 38.2^\circ C $$
Answer: The patient's temperature in Celsius is approximately $38.2^\circ C$.