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]5/9[/tex].
B. Multiply 46 by [tex]9/5[/tex].
C. Add 273 to 46.
D. Subtract 273 from 46.

Answer :

To convert degrees Fahrenheit to degrees Celsius, you can use the formula:

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

Let's apply this formula step by step to convert [tex]\( 78^\circ F \)[/tex] to degrees Celsius:

1. Subtract 32 from the Fahrenheit temperature:
Start with the temperature in Fahrenheit, which is [tex]\( 78^\circ F \)[/tex].
Subtract 32 from 78:
[tex]\[ 78 - 32 = 46 \][/tex]

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
Take the result from the previous step (46) and multiply it by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ 46 \times \frac{5}{9} = 25.56 \][/tex]

So, after the initial subtraction of 32, the next step is to multiply 46 by [tex]\(\frac{5}{9}\)[/tex]. This will give you the temperature in Celsius, which is approximately [tex]\( 25.56^\circ C \)[/tex].

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