College

Barbara is converting [tex]$78^{\circ} F$[/tex] to degrees Celsius. First, she subtracts 32 from 78. What is the next step?

A. Multiply 46 by [tex]$5/9$[/tex]
B. Multiply 46 by [tex][tex]$9/5$[/tex][/tex]
C. Add 273 to 46
D. Subtract 273 from 46

Answer :

To convert a temperature from Fahrenheit to Celsius, we use the formula

[tex]$$
^\circ C = \frac{5}{9}(^\circ F - 32).
$$[/tex]

Here, Barbara starts with [tex]$78^\circ F$[/tex] and subtracts 32 to get

[tex]$$
78 - 32 = 46.
$$[/tex]

The next step is to multiply this result by [tex]$\frac{5}{9}$[/tex]. In other words, you multiply 46 by [tex]$\frac{5}{9}$[/tex] to get the temperature in Celsius:

[tex]$$
46 \times \frac{5}{9}.
$$[/tex]

This step yields the Celsius temperature.

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