We appreciate your visit to You are measuring temperature using a thermometer and the temperature is in degrees Celsius The formula to convert Celsius to Fahrenheit is given by tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
We start with the formula that converts Celsius to Fahrenheit:
[tex]$$
F = \frac{9}{5}C + 32.
$$[/tex]
Our goal is to rewrite this equation so that it converts Fahrenheit to Celsius—that is, to solve for [tex]$C$[/tex] in terms of [tex]$F$[/tex].
Step 1: Isolate the term with [tex]$C$[/tex].
Subtract [tex]$32$[/tex] from both sides of the equation:
[tex]$$
F - 32 = \frac{9}{5}C.
$$[/tex]
Step 2: Solve for [tex]$C$[/tex].
Multiply both sides by the reciprocal of [tex]$\frac{9}{5}$[/tex], which is [tex]$\frac{5}{9}$[/tex]:
[tex]$$
C = \frac{5}{9}(F - 32).
$$[/tex]
This is the exact expression for the conversion from Fahrenheit to Celsius.
To express the conversion in decimal form, note that
[tex]$$
\frac{5}{9} \approx 0.555555555555556,
$$[/tex]
so the formula can also be written as:
[tex]$$
C = 0.555555555555556\,F - 17.7777777777778.
$$[/tex]
Thus, the final formula to convert Fahrenheit to Celsius is:
[tex]$$
\boxed{C = \frac{5}{9}(F - 32) \quad \text{or equivalently} \quad C = 0.555555555555556\,F - 17.7777777777778.}
$$[/tex]
[tex]$$
F = \frac{9}{5}C + 32.
$$[/tex]
Our goal is to rewrite this equation so that it converts Fahrenheit to Celsius—that is, to solve for [tex]$C$[/tex] in terms of [tex]$F$[/tex].
Step 1: Isolate the term with [tex]$C$[/tex].
Subtract [tex]$32$[/tex] from both sides of the equation:
[tex]$$
F - 32 = \frac{9}{5}C.
$$[/tex]
Step 2: Solve for [tex]$C$[/tex].
Multiply both sides by the reciprocal of [tex]$\frac{9}{5}$[/tex], which is [tex]$\frac{5}{9}$[/tex]:
[tex]$$
C = \frac{5}{9}(F - 32).
$$[/tex]
This is the exact expression for the conversion from Fahrenheit to Celsius.
To express the conversion in decimal form, note that
[tex]$$
\frac{5}{9} \approx 0.555555555555556,
$$[/tex]
so the formula can also be written as:
[tex]$$
C = 0.555555555555556\,F - 17.7777777777778.
$$[/tex]
Thus, the final formula to convert Fahrenheit to Celsius is:
[tex]$$
\boxed{C = \frac{5}{9}(F - 32) \quad \text{or equivalently} \quad C = 0.555555555555556\,F - 17.7777777777778.}
$$[/tex]
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