Subjects algebra

Fahrenheit To Celsius

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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 $38.2^\circ C$.