# How do you convert 105 degrees fahrenheit to celsius?

Apr 12, 2016

approximately ${40.56}^{\circ} C$

#### Explanation:

To convert from Fahrenheit to Celsius, use the formula:

$\textcolor{b l u e}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} {T}_{\circ C} = \left({T}_{\circ F} - 32\right) \times \frac{5}{9} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

Substitute ${T}_{\circ F}$ as $105$ and solve for ${T}_{\circ C}$.

${T}_{\circ C} = \left({T}_{\circ F} - 32\right) \times \frac{5}{9}$

${T}_{\circ C} = \left(105 - 32\right) \times \frac{5}{9}$

${T}_{\circ C} = 73 \times \frac{5}{9}$

$\textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} {T}_{\circ C} \approx {40.56}^{\circ} C \textcolor{w h i t e}{\frac{a}{a}} |}}}$