Answer :
To convert a temperature from Fahrenheit to Celsius, you can use the formula:
[tex]\[ C = \frac{5}{9} \times (F - 32) \][/tex]
Barbara is starting with [tex]\( 78^\circ F \)[/tex]. She begins by subtracting 32 from 78:
[tex]\[ F - 32 = 78 - 32 = 46 \][/tex]
Now that she has calculated this part, the next step is to multiply the result (46) by [tex]\( \frac{5}{9} \)[/tex]. This is because multiplying by [tex]\( \frac{5}{9} \)[/tex] completes the conversion from Fahrenheit to Celsius:
[tex]\[ C = 46 \times \frac{5}{9} \][/tex]
So, the next step is to multiply 46 by [tex]\( \frac{5}{9} \)[/tex].
[tex]\[ C = \frac{5}{9} \times (F - 32) \][/tex]
Barbara is starting with [tex]\( 78^\circ F \)[/tex]. She begins by subtracting 32 from 78:
[tex]\[ F - 32 = 78 - 32 = 46 \][/tex]
Now that she has calculated this part, the next step is to multiply the result (46) by [tex]\( \frac{5}{9} \)[/tex]. This is because multiplying by [tex]\( \frac{5}{9} \)[/tex] completes the conversion from Fahrenheit to Celsius:
[tex]\[ C = 46 \times \frac{5}{9} \][/tex]
So, the next step is to multiply 46 by [tex]\( \frac{5}{9} \)[/tex].