1. The problem asks to convert 12°F to Celsius using the formula $$C = \frac{5}{9}(F - 32)$$ and round to the nearest tenth.
2. Substitute $F = 12$ into the formula:
$$C = \frac{5}{9}(12 - 32)$$
3. Simplify inside the parentheses:
$$12 - 32 = -20$$
4. So,
$$C = \frac{5}{9} \times (-20)$$
5. Multiply numerator and denominator:
$$C = \frac{5 \times (-20)}{9} = \frac{-100}{9}$$
6. Simplify the fraction by dividing numerator and denominator by \cancel{1} (no common factor other than 1):
$$C = -\frac{100}{9}$$
7. Calculate the decimal value:
$$C \approx -11.111...$$
8. Round to the nearest tenth:
$$C \approx -11.1$$
9. Therefore, 12°F is approximately $-11.1^\circ$C.
Note: The options given do not include $-11.1^\circ$C, so the correct conversion is $-11.1^\circ$C, not any of the positive values listed.
Fahrenheit To Celsius D2A183
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