Answer :
Certainly! Let's walk through the steps to rewrite the formula from degrees Fahrenheit to degrees Celsius.
The original formula to convert temperatures from degrees Celsius (C) to degrees Fahrenheit (F) is:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
We want to solve this equation for C, so that it will convert Fahrenheit to Celsius. Here's how we can do that step by step:
1. Start with the original formula:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
2. Isolate the term with C:
Subtract 32 from both sides to move it away from the term with C:
[tex]\[ F - 32 = \frac{9}{5}C \][/tex]
3. Solve for C:
To isolate C, 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 gives us the formula to convert degrees Fahrenheit to degrees Celsius:
[tex]\[ C = \frac{5}{9} \times (F - 32) \][/tex]
This formula will allow you to convert any temperature from Fahrenheit to Celsius. Simply subtract 32 from the Fahrenheit value, multiply by [tex]\(\frac{5}{9}\)[/tex], and you will have the temperature in degrees Celsius.
The original formula to convert temperatures from degrees Celsius (C) to degrees Fahrenheit (F) is:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
We want to solve this equation for C, so that it will convert Fahrenheit to Celsius. Here's how we can do that step by step:
1. Start with the original formula:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
2. Isolate the term with C:
Subtract 32 from both sides to move it away from the term with C:
[tex]\[ F - 32 = \frac{9}{5}C \][/tex]
3. Solve for C:
To isolate C, 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 gives us the formula to convert degrees Fahrenheit to degrees Celsius:
[tex]\[ C = \frac{5}{9} \times (F - 32) \][/tex]
This formula will allow you to convert any temperature from Fahrenheit to Celsius. Simply subtract 32 from the Fahrenheit value, multiply by [tex]\(\frac{5}{9}\)[/tex], and you will have the temperature in degrees Celsius.