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

Answer :

To convert a temperature from degrees Fahrenheit to degrees Celsius, you can use the following steps:

1. Start with the temperature in Fahrenheit. In this case, it's [tex]\(78^\circ F\)[/tex].
2. Subtract 32 from the Fahrenheit temperature. For Barbara, she did this first step as:
[tex]\[
78 - 32 = 46
\][/tex]
3. Next, multiply the result by [tex]\(\frac{5}{9}\)[/tex]. This is the step needed to complete the conversion to Celsius:
[tex]\[
46 \times \frac{5}{9}
\][/tex]

By following these steps, the correct next action for Barbara after subtracting 32 is to multiply 46 by [tex]\(\frac{5}{9}\)[/tex]. This will give her the temperature in degrees Celsius.

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