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, you can follow these steps:

1. Start with the temperature in Fahrenheit. In this case, it’s [tex]\(78^\circ F\)[/tex].

2. Subtract 32 from the Fahrenheit temperature. This gives you:
[tex]\[
78 - 32 = 46
\][/tex]

3. Next, multiply the result by [tex]\(\frac{5}{9}\)[/tex]. This step converts the remainder from the Fahrenheit scale to the Celsius scale:
[tex]\[
46 \times \frac{5}{9} = 25.56
\][/tex]

So, after subtracting 32 from the Fahrenheit temperature, the next step is to multiply the result by [tex]\(\frac{5}{9}\)[/tex]. Therefore, the correct next step is to multiply 46 by [tex]\(5/9\)[/tex].

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