This formula of Fahrenheit to Celsius is utilized for the temperature conversion from scale Fahrenheit to Celsius. These scales are used for the measurement of temperature and it facilitates the process of finding out the hotness and coldness of an object. The symbol, which is used for the representation of Fahrenheit is °F. Similarly, the symbol that is used for the representation of Celsius is °C. Also, the Celsius scale is generally known as the centigrade scale.

We already know that water freezes at 0°C and boils at 100°C on Celsius scale. The freezing point of water is 32°F and it boils at 212°F on the Fahrenheit scale.

In this article, we are going to learn how to derive the formula for Fahrenheit to Celsius and Celsius to Fahrenheit formula with examples in detail.

The Fahrenheit to Celsius formula is basically termed as the F to C formula.

It is a conversion formula, where a given temperature in Fahrenheit is changed to Celsius.

The formula for Celsius from Fahrenheit is as follows:

Fahrenheit to Celsius Formula

Here,

F is the temperature measured in Fahrenheit

C is the temperature measured in Celsius.

Example:

What is 80 degrees Fahrenheit in Celsius?

Using this formula, we can convert 80°F into Celsius.

(80°F − 32) × 5/9 = 26.667 °C

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The formula for the conversion of temperature in degree Celsius to degree Fahrenheit is called C to F Formula and its formula is expressed as follows:

Fahrenheit to Celsius Conversion

These are the steps in order to convert the temperature in degree Fahrenheit to degree Celsius.

First, subtract 32 from the given Fahrenheit value

Now multiply the obtained difference value by 5.

Divide the value of the product by 9 from the step above.

Example 1:

Convert 108°F to Celsius.

Solution:

Given Fahrenheit temperature, °F = 108°F.

We know that the formula for Fahrenheit to Celsius is °C = [(°F-32)×5]/9

Now Substitute the values in the formula,

°C = [(108-32)×5]/9

°C = (76×5)/9

°C = 380/9

°C = 42.2.

Example 2:

Change 12°F into Celsius.

Solution:

Given : 12°F

Fahrenheit to celsius formula is °C = [(°F-32)×5]/9

Now substitute for the values in the formula we get,

°C = [(12-32)×5]/9

°C = (-20 ×5)/9

°C = -100/9

°C = -11. 1

Therefore, 12°F = -11.1°C.

The formula for converting Fahrenheit to Celsius is

This conversion enables you to convert temperatures read on the Fahrenheit scale into the correct value on the Celsius scale, which again makes comparisons and understanding possible across different temperature measurement systems.

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