Answer :
To convert a temperature from degrees Fahrenheit to degrees Celsius, you can use the formula:
[tex]\[ \text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9} \][/tex]
Let's break down the steps Barbara should follow to convert [tex]$78^\circ F$[/tex] to Celsius:
1. Subtract 32 from the Fahrenheit temperature:
- Start with the given temperature in Fahrenheit: 78
- Subtract 32 from 78:
[tex]\[
78 - 32 = 46
\][/tex]
- The result after subtraction is 46.
2. Multiply the result by [tex]\( \frac{5}{9} \)[/tex]:
- Take the result from the previous step, which is 46.
- Multiply it by [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[
46 \times \frac{5}{9} = 25.56
\][/tex]
Thus, the next step after subtracting 32 is to multiply 46 by [tex]\( \frac{5}{9} \)[/tex], resulting in approximately [tex]\( 25.56^\circ C \)[/tex]. This confirms that the process of converting from Fahrenheit to Celsius involves these specific arithmetic steps.
[tex]\[ \text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9} \][/tex]
Let's break down the steps Barbara should follow to convert [tex]$78^\circ F$[/tex] to Celsius:
1. Subtract 32 from the Fahrenheit temperature:
- Start with the given temperature in Fahrenheit: 78
- Subtract 32 from 78:
[tex]\[
78 - 32 = 46
\][/tex]
- The result after subtraction is 46.
2. Multiply the result by [tex]\( \frac{5}{9} \)[/tex]:
- Take the result from the previous step, which is 46.
- Multiply it by [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[
46 \times \frac{5}{9} = 25.56
\][/tex]
Thus, the next step after subtracting 32 is to multiply 46 by [tex]\( \frac{5}{9} \)[/tex], resulting in approximately [tex]\( 25.56^\circ C \)[/tex]. This confirms that the process of converting from Fahrenheit to Celsius involves these specific arithmetic steps.
