Answer :
To convert Fahrenheit to Celsius, Barbara is on the right track. She has already subtracted 32 from 78, which is the first step. Next, after getting 46 (since 78 - 32 = 46), she needs to continue the conversion process.
The next step in converting Fahrenheit to Celsius is to multiply the result by [tex]\( \frac{5}{9} \)[/tex]. This is because the formula for converting Fahrenheit to Celsius is:
[tex]\[ \text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9} \][/tex]
So, since Barbara has 46 after subtracting 32 from 78, she should multiply 46 by [tex]\( \frac{5}{9} \)[/tex] to turn the Fahrenheit temperature into Celsius. Thus, the correct next step is:
multiply 46 by [tex]\( \frac{5}{9} \)[/tex]
The next step in converting Fahrenheit to Celsius is to multiply the result by [tex]\( \frac{5}{9} \)[/tex]. This is because the formula for converting Fahrenheit to Celsius is:
[tex]\[ \text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9} \][/tex]
So, since Barbara has 46 after subtracting 32 from 78, she should multiply 46 by [tex]\( \frac{5}{9} \)[/tex] to turn the Fahrenheit temperature into Celsius. Thus, the correct next step is:
multiply 46 by [tex]\( \frac{5}{9} \)[/tex]