College

Rewrite the formula to convert Fahrenheit to Celsius using fractions instead of decimal numbers.

Given the formula for converting Celsius to Fahrenheit:

[tex]\[ F = \frac{9}{5} C + 32 \][/tex]

Rearrange this formula to solve for [tex]\( C \)[/tex], converting Fahrenheit to Celsius.

Answer :

To convert temperature from Fahrenheit to Celsius, we need to rearrange the given formula. The formula for converting degrees Celsius to degrees Fahrenheit is:

[tex]\[ F = \frac{9}{5}C + 32 \][/tex]

We will now solve this equation for [tex]\( C \)[/tex] to convert Fahrenheit back to Celsius.

1. Start with the conversion formula:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]

2. Subtract 32 from both sides of the equation to move the constant term to the left:
[tex]\[ F - 32 = \frac{9}{5}C \][/tex]

3. To isolate [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]

Now we have the formula to convert temperature from Fahrenheit to Celsius:

[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]

By using this formula, you can easily convert any temperature from degrees Fahrenheit to degrees Celsius.