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

Question

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)
$210^{\circ }C$
$101^{\circ }C$
$13^{\circ }C$
$65^{\circ }C$

Answer 1

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 $9$:

$$585÷9=65$$

Thus, $C={65}^{\circ }C$.

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

$$\boxed{{\displaystyle {65}^{\circ }C}}$$