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Answer :
To convert temperatures from degrees Fahrenheit to degrees Celsius, we will start with the given formula for converting Celsius to Fahrenheit:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
We need to rearrange this formula to solve for [tex]\( C \)[/tex].
1. Subtract 32 from both sides:
[tex]\[
F - 32 = \frac{9}{5}C
\][/tex]
2. Multiply both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex], which is [tex]\(\frac{5}{9}\)[/tex], to isolate [tex]\( C \)[/tex]:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
So, the formula to convert degrees Fahrenheit to degrees Celsius is:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
This equation allows you to take a temperature in Fahrenheit (F) and calculate the equivalent temperature in Celsius (C) by subtracting 32 from the Fahrenheit value, then multiplying by [tex]\(\frac{5}{9}\)[/tex].
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
We need to rearrange this formula to solve for [tex]\( C \)[/tex].
1. Subtract 32 from both sides:
[tex]\[
F - 32 = \frac{9}{5}C
\][/tex]
2. Multiply both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex], which is [tex]\(\frac{5}{9}\)[/tex], to isolate [tex]\( C \)[/tex]:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
So, the formula to convert degrees Fahrenheit to degrees Celsius is:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
This equation allows you to take a temperature in Fahrenheit (F) and calculate the equivalent temperature in Celsius (C) by subtracting 32 from the Fahrenheit value, then multiplying by [tex]\(\frac{5}{9}\)[/tex].
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