College

Barbara is converting [tex]78^{\circ} F[/tex] to degrees Celsius. First, she subtracts 32 from 78. What is the next step?

A. Add 273 to 46
B. Subtract 273 from 46
C. Multiply 46 by [tex]\frac{5}{9}[/tex]
D. Multiply 46 by [tex]\frac{9}{5}[/tex]

Answer :

To convert 78°F to degrees Celsius, Barbara starts by subtracting 32 from 78. This gives her 46. The next step in the conversion process is to multiply this result by [tex]\( \frac{5}{9} \)[/tex].

Here's a breakdown of the steps:

1. Start with the temperature in Fahrenheit: 78°F.
2. Subtract 32: [tex]\( 78 - 32 = 46 \)[/tex].
3. Multiply the result by [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[
46 \times \frac{5}{9} = 25.56
\][/tex]

Therefore, 78°F is approximately 25.56°C. So, the correct next step after subtracting 32 is to multiply 46 by [tex]\( \frac{5}{9} \)[/tex].

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