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 Fahrenheit to Celsius, the formula used is

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

where [tex]$F$[/tex] is the temperature in Fahrenheit.

Barbara already subtracted 32 from 78°F:

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

The next step is to multiply the result (46) by [tex]$\frac{5}{9}$[/tex]. This step adjusts the difference according to the Celsius scale.

Thus, the correct next step is to multiply 46 by [tex]$\frac{5}{9}$[/tex].

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