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 degrees Fahrenheit to degrees Celsius, you can follow these steps:

1. Subtract 32 from the Fahrenheit temperature. In this case, Barbara starts with 78°F:
[tex]\[
78 - 32 = 46
\][/tex]

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]. This step is crucial for converting the adjusted Fahrenheit measurement into Celsius:
[tex]\[
46 \times \frac{5}{9} = 25.56
\][/tex]

Therefore, after subtracting 32 from 78, the next step is to multiply 46 by [tex]\(\frac{5}{9}\)[/tex]. This will give her the temperature in degrees Celsius, which is approximately 25.56°C.