High School

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

Answer :

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

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

Starting with [tex]$78^\circ F$[/tex], Barbara subtracts 32 from it:

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

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

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

Thus, after subtracting 32, the next step is to multiply 46 by [tex]$\frac{5}{9}$[/tex].

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