While working in science lab, you record a temperature of $149^{\circ }F.$ You must convert this

temperature to degrees Celsius . Fahrenheit is $\frac {9}{5}$ the amount of Celsius with an additional 32
degrees. What is the equivalent in Celsius of $149^{\circ }F$ ? (1 point)
$210^{\circ }C$
$101^{\circ }C$
$13^{\circ }C$
$65^{\circ }C$

1 answer

To convert from Fahrenheit to Celsius, we can use the formula:

\[ C = \frac{5}{9} (F - 32) \]

Where \( C \) is the temperature in degrees Celsius and \( F \) is the temperature in degrees Fahrenheit.

Given \( F = 149^{\circ }F \), we can substitute this value into the formula:

\[ C = \frac{5}{9} (149 - 32) \]

First, calculate \( 149 - 32 \):

\[ 149 - 32 = 117 \]

Now substitute this back into the equation:

\[ C = \frac{5}{9} \times 117 \]

To multiply \( \frac{5}{9} \) by \( 117 \):

\[ C = \frac{5 \times 117}{9} = \frac{585}{9} \]

Now, we need to divide \( 585 \) by \( 9 \):

\[ 585 \div 9 = 65 \]

Thus, \( C = 65^{\circ }C\).

Therefore, the equivalent in Celsius of \( 149^{\circ }F \) is:

\[ \boxed{65^{\circ }C} \]