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 a temperature from Fahrenheit to Celsius, you can use the formula:

[tex]\[ \text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9} \][/tex]

For Barbara's problem, let's go through the steps one by one:

1. Start with the given Fahrenheit temperature: 78°F.
2. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 78 - 32 = 46 \][/tex]
3. The next step is to multiply this result by [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[ 46 \times \frac{5}{9} \][/tex]

This step will give you the temperature in degrees Celsius. Therefore, the next step is to multiply 46 by [tex]\( \frac{5}{9} \)[/tex].

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