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

[tex]\[ C = (F - 32) \times \frac{5}{9} \][/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 78 and subtract 32:

[tex]\[ 78 - 32 = 46 \][/tex]

So, after this step, we have 46.

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

Now, take the result from the first step (which is 46) and multiply it by [tex]\( \frac{5}{9} \)[/tex]:

[tex]\[ 46 \times \frac{5}{9} = 25.5555 \ldots \][/tex]

This means that [tex]\(78^{\circ} F\)[/tex] is approximately [tex]\(25.56^{\circ} C\)[/tex].

Therefore, after Barbara subtracts 32 from 78, the next step is to multiply 46 by [tex]\( \frac{5}{9} \)[/tex].

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