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 :

To convert temperatures from degrees Fahrenheit to degrees Celsius, we follow a specific formula. Let's break down the process step by step using Barbara's example:

1. Start with the given Fahrenheit temperature:
Barbara has a temperature of [tex]\( 78^\circ F \)[/tex].

2. Subtract 32 from the Fahrenheit temperature:
The first step is to take the Fahrenheit temperature and subtract 32 from it:
[tex]\[
78 - 32 = 46
\][/tex]

3. Multiply the result by the conversion factor:
The conversion from Fahrenheit to Celsius requires multiplying the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
46 \times \frac{5}{9} = 25.56
\][/tex]

Therefore, the next step after subtracting 32 from 78 is to multiply the result, 46, by [tex]\(\frac{5}{9}\)[/tex] to convert it to degrees Celsius. The temperature in degrees Celsius is approximately [tex]\(25.56^\circ C\)[/tex].