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------------------------------------------------ Barbara is converting [tex]$78^{\circ} F$[/tex] to degrees Celsius. First, she subtracts 32 from 78. What is the next step?

A. Multiply 46 by [tex]$\frac{5}{9}$[/tex]
B. Multiply 46 by [tex]$\frac{9}{5}$[/tex]
C. Add 273 to 46
D. Subtract 273 from 46

To convert a temperature from Fahrenheit to Celsius, you use the formula

[tex]$$
C = \frac{5}{9} (F - 32).
$$[/tex]

For a temperature of [tex]$78^\circ F$[/tex], the conversion is done in two steps:

1. Subtract 32 from the Fahrenheit temperature:

[tex]$$
78 - 32 = 46.
$$[/tex]

2. Multiply the result by [tex]$\frac{5}{9}$[/tex]:

[tex]$$
46 \times \frac{5}{9} \approx 25.56.
$$[/tex]

The final step is to multiply [tex]$46$[/tex] by [tex]$\frac{5}{9}$[/tex], which gives the temperature in degrees Celsius approximately equal to [tex]$25.56^\circ C$[/tex].