Subjects algebra

Fahrenheit To Celsius 7Def60

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks to convert 12°F to Celsius using the formula: $$C = \frac{5}{9} (F - 32)$$ where $F$ is the temperature in Fahrenheit and $C$ is the temperature in Celsius. 2. Substitute $F = 12$ into the formula: $$C = \frac{5}{9} (12 - 32)$$ 3. Calculate the difference inside the parentheses: $$12 - 32 = -20$$ So, $$C = \frac{5}{9} \times (-20)$$ 4. Multiply the numerator: $$C = \frac{5 \times (-20)}{9} = \frac{-100}{9}$$ 5. Simplify the fraction by dividing numerator and denominator: $$C = -\frac{100}{9}$$ 6. Convert the fraction to a decimal: $$C \approx -11.111...$$ 7. Round to the nearest tenth: $$C \approx -11.1$$ Therefore, the temperature 12°F is approximately $-11.1^\circ C$. The correct answer is $-11.1^\circ C$.