Answer :
To convert degrees Fahrenheit to degrees Celsius, Barbara is following a specific process. Here’s how it works:
1. Start with the temperature in Fahrenheit: Barbara starts with 78°F.
2. Subtract 32 from the Fahrenheit temperature: The first step is to subtract 32 from the Fahrenheit temperature because this accounts for the offset in the two temperature scales. So, Barbara does:
[tex]\[
78 - 32 = 46
\][/tex]
3. Multiply the result by [tex]\( \frac{5}{9} \)[/tex]: After subtracting 32, the next step is to multiply the result by [tex]\( \frac{5}{9} \)[/tex]. This conversion factor accounts for the difference in the size of the degree on the two scales. So, Barbara multiplies:
[tex]\[
46 \times \frac{5}{9}
\][/tex]
When you calculate this, you get approximately 25.56 degrees Celsius.
So, the conversion from 78°F to Celsius involves these steps, and the final temperature in Celsius is approximately 25.56°C. Therefore, the next correct step after subtracting 32 is to multiply 46 by [tex]\( \frac{5}{9} \)[/tex].
1. Start with the temperature in Fahrenheit: Barbara starts with 78°F.
2. Subtract 32 from the Fahrenheit temperature: The first step is to subtract 32 from the Fahrenheit temperature because this accounts for the offset in the two temperature scales. So, Barbara does:
[tex]\[
78 - 32 = 46
\][/tex]
3. Multiply the result by [tex]\( \frac{5}{9} \)[/tex]: After subtracting 32, the next step is to multiply the result by [tex]\( \frac{5}{9} \)[/tex]. This conversion factor accounts for the difference in the size of the degree on the two scales. So, Barbara multiplies:
[tex]\[
46 \times \frac{5}{9}
\][/tex]
When you calculate this, you get approximately 25.56 degrees Celsius.
So, the conversion from 78°F to Celsius involves these steps, and the final temperature in Celsius is approximately 25.56°C. Therefore, the next correct step after subtracting 32 is to multiply 46 by [tex]\( \frac{5}{9} \)[/tex].