Fahrenheit to Celsius Formula, Meaning, Steps, Solved Examples, Formula Derivation and Sample Questions

Safalta Expert Published by: Trisha Bharati Updated Mon, 15 Aug 2022 09:08 AM IST

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Conversion of temperature from one scale to another might be the easiest in sounding. But, when you ask to present the entire and solve it using pen or paper it might be difficult for the students as well as the individuals to do so. Many students fail to solve the questions based on the conversion of temperature due to a lack of basic knowledge. If you too are facing this issue then joining Salfata School Online will help you to develop the foundational base of each subject. As we believe that learning can only be fruitful when it gains you to grab the knowledge and understand what the ideas actually mean.

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Conversion from Fahrenheit to Celsius has a lot of significance. The terms Fahrenheit and Celsius relate to the temperature measurement and reporting scales. These scales may also monitor the temperatures of the water, air, and room. The United States is where the Fahrenheit scale is used. In contrast, everyone is familiar with the Celsius scale. The Celsius Scale is used by the great majority of the world, with the noteworthy exception of the United States. Understanding how to convert from the Fahrenheit scale to the Celsius scale is unquestionably crucial for scientists. Here is the method for converting degrees Fahrenheit to degrees Celsius.

Table of Content
What is Fahrenheit to Celsius Formula?
Step by Step Method of Fahrenheit to Celsius Conversion
Solved Examples on Fahrenheit to Celsius Formula
Understand the Derivation of Fahrenheit to Celsius Formula
Sample Questions on Fahrenheit to Celsius Conversion

 

What is Fahrenheit to Celsius Formula?

The F to C formula is the common name for the Fahrenheit to Celsius formula. The given temperature is converted from Fahrenheit to Celsius using a conversion formula. It is expressed as:

°C = (°F - 32) × 5/9

Where F refers to the measurement of temperature in Fahrenheit 
C refers to the measurement of temperature in Celsius

Also check 
Basic Maths Formula
NCERT Solutions

Step by Step Method of Fahrenheit to Celsius Conversion 

Fahrenheit to Celsius conversion of temperatures can be made possible using the above formula. Using the suitable example it can be understood well. The following are the step-by-step process involved in the conversion of Fahrenheit to Celsius:

  • Step 1: To begin, take 32 out of the given Fahrenheit value.
  • Step 2: Next, multiply the difference value obtained in Step 1 by 5
  • Step 3: Subtract 9 from the product value that was determined in Step 2 to finish.

Fahrenheit to Celsius 

Temperature in Celsius

32 °F

0°C (Melting point/Freezing point of water)

50 °F

10°C

68 °F

20°C

98.6 °F

37°C (Average body temperature)

104 °F

40°C

194 °F

90°C

212 °F

100°C (Boiling point of water)

Solved Examples on Fahrenheit to Celsius Formula 

The following are the solve examples of F to C formula which help you to understand the concepts in depth.

Example 1 

Convert 32°F to °C

Solution:

Given temperature = 32°F

We know, 

°C = (°F - 32) × 5/9

Therefore, 

°C = [(32-32)×5]/9

°C = (0 ×5)/9

°C = 0/9

°C = 0.

Therefore, 32°F = 0°C.

Example 2 

Convert 50°F to °C, using the F to C formula. 

Given temperature = 50°F

We know, 

°C = (°F - 32) × 5/9

Therefore,

°C = [(50-32)×5]/9

°C = (18 ×5)/9

°C = 90/9

°C = 10.

Therefore, 50°F = 10°C.

Understand the Derivation of Fahrenheit to Celsius Formula 

At normal pressure, water reaches its boiling point at a temperature of 100 °C. The boiling point of water, however, is 212 degrees Fahrenheit.

Water also freezes at 0 degrees Celsius. Water, on the other hand, has a freezing point of 32 degrees Fahrenheit.

The scales start at a different value (0 versus 32) when it comes to the freezing point of water, therefore one would need to add or subtract 32.

Scales climb at a different pace (100 vs. 180) when it comes to the boiling point of water, thus multiplication is required here.

Therefore, one must first remove 32 before converting from the Fahrenheit scale to the Celsius scale. The next step is to multiply by 100/180.

Most importantly, 100/180 may be reduced to 5/9. Undoubtedly, there is a simpler method.

Consequently, the conversion formula from Fahrenheit to Celsius is as follows:

°C = (°F - 32) × 5/9

Sample Questions on Fahrenheit to Celsius Conversion 

To practice more questions on Fahrenheit to Celsius Conversion check the list of the questions below.

  1. Suppose, the temperature of an object is 60°F. Find out the figure on the Celsius scale. 
  2. What is 31° Fahrenheit in Celsius?
  3.  Convert 90° F to C using the Fahrenheit to Celsius formula.

What is the Fahrenheit to Celsius Formula?

The Fahrenheit to Celsius formula represents the conversion of degree Fahrenheit to degree Celsius. The formula for Fahrenheit to Celsius is °C = [(°F-32)×5]/9.

What is 212°F to Celsius?

212°F is equal to 100°C.

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