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 :

Sure, let's walk through the process of converting [tex]\(78^\circ \text{F}\)[/tex] to degrees Celsius step-by-step.

1. Subtract 32 from the Fahrenheit temperature.
Barbara starts with [tex]\(78^\circ \text{F}\)[/tex]. The first step is to subtract 32 from this value:

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

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex].
Next, you need to convert the adjusted Fahrenheit temperature (46) to Celsius by multiplying it by [tex]\(\frac{5}{9}\)[/tex]:

[tex]\[
46 \times \frac{5}{9} = 25.555555555555557
\][/tex]

So, converting [tex]\(78^\circ \text{F}\)[/tex] to degrees Celsius involves two main steps:

1. Subtract 32 from the Fahrenheit value: [tex]\(78 - 32 = 46\)[/tex].
2. Multiply the resulting number by [tex]\(\frac{5}{9}\)[/tex]: [tex]\(46 \times \frac{5}{9} = 25.555555555555557\)[/tex].

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

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