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 from degrees Fahrenheit to degrees Celsius, we use the conversion formula:

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

Barbara first subtracts 32 from 78°F:

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

The next step is to multiply 46 by [tex]$\frac{5}{9}$[/tex]. This gives the temperature in degrees Celsius:

[tex]$$
46 \cdot \frac{5}{9} \approx 25.56^\circ C
$$[/tex]

Thus, the correct answer is to multiply 46 by [tex]$\frac{5}{9}$[/tex].

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