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]$\frac{5}{9}$[/tex]
B. Multiply 46 by [tex][tex]$\frac{9}{5}$[/tex][/tex]
C. Add 273 to 46
D. Subtract 273 from 46

Answer :

To convert from Fahrenheit to Celsius, the conversion formula is given by

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

Barbara starts with [tex]$78^\circ F$[/tex] and subtracts 32:

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

The next step is to multiply this result by [tex]$\frac{5}{9}$[/tex]:

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

This multiplication converts the remaining value to degrees Celsius. Thus, the correct next step is to multiply 46 by [tex]$\frac{5}{9}$[/tex].