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]\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 [tex]\(78^{\circ} \text{F}\)[/tex] to degrees Celsius, you follow these steps:

1. Subtract 32 from the Fahrenheit temperature:
[tex]\[
78 - 32 = 46
\][/tex]

So, after this step, we have 46.

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
46 \times \frac{5}{9}
\][/tex]

Simplifying this:
[tex]\[
46 \times \frac{5}{9} \approx 25.56
\][/tex]

Thus, the next step after subtracting 32 from 78 is to multiply 46 by [tex]\(\frac{5}{9}\)[/tex].

Therefore, the correct option is:
- multiply 46 by [tex]\(\frac{5}{9}\)[/tex].

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