High School

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

Answer :

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

$$
C = \frac{5}{9}(F - 32).
$$

Barbara starts with $F = 78^\circ F$. The first step is to subtract 32 from 78:

$$
78 - 32 = 46.
$$

The next step is to multiply the result, 46, by $\frac{5}{9}$:

$$
46 \times \frac{5}{9}.
$$

This multiplication gives the temperature in degrees Celsius. Therefore, the next step is to multiply 46 by $\frac{5}{9}$.

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