High School

Abra 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 5/9
B. Add 273 to 46
C. Subtract 273 from 46

Answer :

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

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

Given a temperature of [tex]$78^\circ F$[/tex], the first step is to subtract [tex]$32$[/tex] from [tex]$78$[/tex], resulting in:

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

The next step is to multiply [tex]$46$[/tex] by [tex]$\frac{5}{9}$[/tex]:

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

This multiplication provides the temperature in Celsius. Thus, the correct next step is to multiply [tex]$46$[/tex] by [tex]$\frac{5}{9}$[/tex].

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