Question

What is 65 degrees Fahrenheit in Celsius?

Answer

100% (3 rated)

The correct answer is: $18\frac{1}{3}^\circ\text{C}$ (exact) ≈ $18.33^\circ\text{C}$

Explanation

To convert Fahrenheit to Celsius use the formula $T_C = \dfrac{5}{9}(T_F – 32)$. Plugging in $T_F = 65$ gives the temperature in Celsius.

Steps:

  1. First step: $$T_C = \frac{5}{9}(T_F – 32)$$
  2. Second step: $$T_C = \frac{5}{9}(65 – 32) = \frac{5}{9}\cdot 33$$
  3. Final step: $$T_C = \frac{165}{9} = \frac{55}{3} = 18\frac{1}{3}^\circ\text{C} \approx 18.33^\circ\text{C}$$

Therefore, 65°F equals about $18.33^\circ\text{C}$.