Answer :
To convert temperatures from Fahrenheit to Celsius, we use a specific formula. Let's break down the steps to solve the problem involving Barbara's Fahrenheit to Celsius conversion.
1. Start with the given Fahrenheit temperature: Barbara starts with [tex]\(78^\circ F\)[/tex].
2. Subtract 32 from the Fahrenheit temperature: This step is the first part of the conversion formula. So, she subtracts 32 from 78:
[tex]\[
78 - 32 = 46
\][/tex]
3. Next step: Multiply by the conversion factor [tex]\( \frac{5}{9} \)[/tex]: This step is crucial for converting the remaining value from the Fahrenheit scale to the Celsius scale. After subtracting 32, Barbara multiplies 46 by [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[
46 \times \frac{5}{9} = 25.56
\][/tex]
Therefore, after completing these steps, Barbara finds that [tex]\( 78^\circ F \)[/tex] is approximately [tex]\( 25.56^\circ C \)[/tex]. The correct step after subtracting 32 is to multiply the result by [tex]\( \frac{5}{9} \)[/tex].
1. Start with the given Fahrenheit temperature: Barbara starts with [tex]\(78^\circ F\)[/tex].
2. Subtract 32 from the Fahrenheit temperature: This step is the first part of the conversion formula. So, she subtracts 32 from 78:
[tex]\[
78 - 32 = 46
\][/tex]
3. Next step: Multiply by the conversion factor [tex]\( \frac{5}{9} \)[/tex]: This step is crucial for converting the remaining value from the Fahrenheit scale to the Celsius scale. After subtracting 32, Barbara multiplies 46 by [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[
46 \times \frac{5}{9} = 25.56
\][/tex]
Therefore, after completing these steps, Barbara finds that [tex]\( 78^\circ F \)[/tex] is approximately [tex]\( 25.56^\circ C \)[/tex]. The correct step after subtracting 32 is to multiply the result by [tex]\( \frac{5}{9} \)[/tex].