Questions: Convert 158°F to °C. Write your answer in proper, simplified form. Be sure to pick the correct label for your answer. °C °F ・ temperature

Transcript text: Convert $158^{\circ} \mathrm{F}$ to ${ }^{\circ} \mathrm{C}$. Write your answer in proper, simplified form. Be sure to pick the correct label for your answer. ${ }^{\circ} \mathrm{C}$ ${ }^{\circ} \mathrm{F}$ ・ temperature

Solution

Solution Steps

To convert a temperature from Fahrenheit to Celsius, use the formula: $ C = \frac{5}{9} \times (F - 32) $. Substitute $ F = 158 $ into the formula to find the temperature in Celsius.

Step 1: Understand the Conversion Formula

To convert a temperature from Fahrenheit to Celsius, we use the formula: \[ C = \frac{5}{9} \times (F - 32) \] where $ C $ is the temperature in degrees Celsius and $ F $ is the temperature in degrees Fahrenheit.

Step 2: Substitute the Given Value

Substitute $ F = 158 $ into the conversion formula: \[ C = \frac{5}{9} \times (158 - 32) \]

Step 3: Perform the Calculation

Calculate the expression inside the parentheses: \[ 158 - 32 = 126 \] Now, substitute back into the formula: \[ C = \frac{5}{9} \times 126 \]

Step 4: Simplify the Expression

Perform the multiplication: \[ C = \frac{5 \times 126}{9} = \frac{630}{9} = 70.0 \]