Thank you for visiting You are measuring temperature using a thermometer and the temperature is in degrees Celsius The formula to convert Celsius to Fahrenheit is tex F frac. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
We start with the formula for converting Celsius to Fahrenheit:
[tex]$$
F = \frac{9}{5} C + 32.
$$[/tex]
To rewrite this formula so that it converts Fahrenheit ([tex]$F$[/tex]) to Celsius ([tex]$C$[/tex]), follow these steps:
1. Subtract 32 from both sides:
Subtracting 32 from both sides of the equation gives
[tex]$$
F - 32 = \frac{9}{5} C.
$$[/tex]
2. Multiply both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex]:
The reciprocal of [tex]\(\frac{9}{5}\)[/tex] is [tex]\(\frac{5}{9}\)[/tex]. Multiplying both sides by [tex]\(\frac{5}{9}\)[/tex] isolates [tex]\(C\)[/tex]:
[tex]$$
\frac{5}{9} (F - 32) = C.
$$[/tex]
Thus, the formula for converting Fahrenheit to Celsius is
[tex]$$
C = \frac{5}{9}(F - 32).
$$[/tex]
3. Verification with a sample value:
If we take a sample Fahrenheit temperature [tex]\(F = 68\)[/tex], then
- First, compute [tex]\(F-32\)[/tex]:
[tex]$$
F - 32 = 68 - 32 = 36.
$$[/tex]
- Next, calculate [tex]\(C\)[/tex]:
[tex]$$
C = \frac{5}{9} \times 36 = \frac{5 \times 36}{9} = \frac{180}{9} = 20.
$$[/tex]
Thus, using the rewritten formula, a Fahrenheit temperature of 68 degrees corresponds to a Celsius temperature of 20 degrees.
In summary, the conversion formula from Fahrenheit to Celsius is:
[tex]$$
C = \frac{5}{9}(F - 32).
$$[/tex]
[tex]$$
F = \frac{9}{5} C + 32.
$$[/tex]
To rewrite this formula so that it converts Fahrenheit ([tex]$F$[/tex]) to Celsius ([tex]$C$[/tex]), follow these steps:
1. Subtract 32 from both sides:
Subtracting 32 from both sides of the equation gives
[tex]$$
F - 32 = \frac{9}{5} C.
$$[/tex]
2. Multiply both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex]:
The reciprocal of [tex]\(\frac{9}{5}\)[/tex] is [tex]\(\frac{5}{9}\)[/tex]. Multiplying both sides by [tex]\(\frac{5}{9}\)[/tex] isolates [tex]\(C\)[/tex]:
[tex]$$
\frac{5}{9} (F - 32) = C.
$$[/tex]
Thus, the formula for converting Fahrenheit to Celsius is
[tex]$$
C = \frac{5}{9}(F - 32).
$$[/tex]
3. Verification with a sample value:
If we take a sample Fahrenheit temperature [tex]\(F = 68\)[/tex], then
- First, compute [tex]\(F-32\)[/tex]:
[tex]$$
F - 32 = 68 - 32 = 36.
$$[/tex]
- Next, calculate [tex]\(C\)[/tex]:
[tex]$$
C = \frac{5}{9} \times 36 = \frac{5 \times 36}{9} = \frac{180}{9} = 20.
$$[/tex]
Thus, using the rewritten formula, a Fahrenheit temperature of 68 degrees corresponds to a Celsius temperature of 20 degrees.
In summary, the conversion formula from Fahrenheit to Celsius is:
[tex]$$
C = \frac{5}{9}(F - 32).
$$[/tex]
Thank you for reading the article You are measuring temperature using a thermometer and the temperature is in degrees Celsius The formula to convert Celsius to Fahrenheit is tex F frac. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
