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]$5 / 9$[/tex]
B. Multiply 46 by [tex]$9 / 5$[/tex]
C. Add 273 to 46
D. Subtract 273 from 46

Answer :

To convert temperatures from degrees Fahrenheit to degrees Celsius, you can follow these steps:

1. Start with the given temperature in Fahrenheit:
Barbara has a temperature of 78 degrees Fahrenheit.

2. Subtract 32 from the Fahrenheit temperature:
[tex]\[
78 - 32 = 46
\][/tex]
This step adjusts for the difference in the zero point between the two temperature scales.

3. Multiply the result by [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[
46 \times \frac{5}{9} = 25.56
\][/tex]
This factor is used to scale the adjusted Fahrenheit temperature to the Celsius scale.

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

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