Fahrenheit to Celsius Formula

Introduction

Fahrenheit to Celsius formula is used to convert temperature from the scale Fahrenheit to Celsius. Both scales are used to measure the temperature and it provides a way to measure the object’s hotness and coldness. The symbol used to represent Fahrenheit is °F. Similarly, the symbol used for Celsius is °C. The Celsius scale is also known as the centigrade scale. We know that, on a Celsius scale, water freezes at 0°C and boils at 100°C. In the Fahrenheit scale, the water freezes at 32°F and boils at 212°F. In this article, we are going to learn the formula for Fahrenheit to Celsius and Celsius to Fahrenheit formula with examples in detail.

Fahrenheit to Celsius Formula

To convert a temperature from Fahrenheit (°F) to Celsius (°C), you can use the following formula:

°C = (°F – 32) * (5/9)

In this formula, °F represents the temperature in Fahrenheit, and °C represents the temperature in Celsius.

To convert Fahrenheit to Celsius, subtract 32 from the Fahrenheit temperature and then multiply the result by 5/9. This formula accounts for the difference in the temperature scales and provides the equivalent temperature in Celsius.

Here is a conversion table showing Fahrenheit temperatures and their equivalent Celsius values:

table

This conversion table provides Fahrenheit temperatures and their corresponding Celsius values. It can be used to convert temperatures between the Fahrenheit and Celsius scales.

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Solved examples on Fahrenheit to Celsius Formula

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

Therefore, 108°F = 42.2°C.

Example 2: Convert 12°F to Celsius.

Solution: Given: 12°F

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

Substituting the values in the formula, we get

°C = [(12-32)×5]/9

°C = (-20 ×5)/9

°C = -100/9

°C = -11. 1

Hence, 12°F = -11.1°C.

Example 3: Convert 32°F to °C.

Solution: Given: Fahrenheit temperature = 32°F.

We know that °C = [(°F-32)×5]/9

°C = [(32-32)×5]/9

°C = (0 ×5)/9

°C = 0/9

°C = 0.

Therefore, 32°F = 0°C.

Frequently Asked Questions Fahrenheit to Celsius Formula

What is the formula to convert Fahrenheit to Celsius?

The formula to convert Fahrenheit (°F) to Celsius (°C) is: °C = (°F - 32) * (5/9).

Why do we subtract 32 in the formula?

We subtract 32 because the Fahrenheit scale places the freezing point of water at 32°F, while the Celsius scale places it at 0°C. Subtracting 32 adjusts the temperature to align the starting points of the two scales.

Why do we multiply by 5/9 in the formula?

Multiplying by 5/9 is the conversion factor that scales the temperature from Fahrenheit to Celsius. It converts the temperature difference between the two scales based on their relative size.

Can the Fahrenheit to Celsius formula be simplified?

The formula can be simplified to °C = (°F - 32) * 0.5556, as 5/9 is approximately equal to 0.5556 when rounded.

Are there alternative formulas to convert Fahrenheit to Celsius?

Another alternative formula to convert Fahrenheit to Celsius is °C = (°F - 32) / 1.8. This formula is derived by dividing the temperature difference by the conversion factor of 1.8.

Can the Fahrenheit to Celsius formula be used to convert negative temperatures?

es, the formula works for negative temperatures as well. It accurately converts negative Fahrenheit temperatures to their corresponding Celsius values.

Can the Fahrenheit to Celsius formula be used for scientific calculations?

Yes, the formula is widely used for temperature conversions in various fields, including scientific calculations, weather forecasting, and engineering.

Is the Fahrenheit to Celsius formula reversible?

Yes, the formula is reversible. To convert Celsius to Fahrenheit, you can use the formula °F = (°C * 9/5) + 32.