How to Convert C/100 = F-32/180 into Fahrenheit?

  Math Assignment Help

  3rd Sep 2024

Converting between Celsius and Fahrenheit is a fundamental skill often required in various fields, from science to daily life. Whether you're a student working on an assignment or someone curious about temperature conversions, understanding how to use the equation C100=F−32180\frac{C}{100} = \frac{F - 32}{180}100C​=180F−32​ is essential. In this blog post, we’ll break down the process of converting Celsius to Fahrenheit using this formula and provide insights into why this equation works. Plus, we’ll explore how seeking "my assignment help," "assignment help online," and "homework help" can assist you in mastering this conversion.

Understanding the Relationship Between Celsius and Fahrenheit

Before diving into the conversion process, it's important to understand the relationship between the Celsius (°C) and Fahrenheit (°F) scales. These scales measure temperature differently:

• Celsius: The Celsius scale, also known as the centigrade scale, is based on the freezing and boiling points of water. Water freezes at 0°C and boils at 100°C.
• Fahrenheit: The Fahrenheit scale is commonly used in the United States. On this scale, water freezes at 32°F and boils at 212°F.

The formula C100=F−32180\frac{C}{100} = \frac{F - 32}{180}100C​=180F−32​ links these two scales, allowing us to convert temperatures from one scale to the other.

Breaking Down the Conversion Formula

The equation C100=F−32180\frac{C}{100} = \frac{F - 32}{180}100C​=180F−32​ may look complex at first glance, but it’s quite simple once you break it down:

• C represents the temperature in Celsius.
• F represents the temperature in Fahrenheit.
• 100 and 180 are the differences in temperature between the boiling and freezing points of water on the Celsius and Fahrenheit scales, respectively.

The equation essentially compares the relative position of a temperature on the Celsius scale to its position on the Fahrenheit scale.

Step-by-Step Guide to Convert Celsius to Fahrenheit

To convert a temperature from Celsius to Fahrenheit using the formula C100=F−32180\frac{C}{100} = \frac{F - 32}{180}100C​=180F−32​, follow these steps:

1. Isolate the Fahrenheit Temperature (F): To find the value of F, you need to isolate it on one side of the equation. Start by cross-multiplying to eliminate the fractions:

   180×C100=F−32180 \times \frac{C}{100} = F - 32180×100C​=F−32

2. Simplify the Equation: Next, simplify the left side of the equation:

   180C100=F−32\frac{180C}{100} = F - 32100180C​=F−32

   This simplifies further to:

   $$1.8C=F-32$$

3. Solve for Fahrenheit (F): Add 32 to both sides of the equation to solve for F:

   $$F=1.8C+32$$

Now, you have the standard formula to convert Celsius to Fahrenheit:

$$F=1.8C+32$$

Example Conversion: 100°C to Fahrenheit

Let’s apply this formula to convert 100°C to Fahrenheit, which is a common conversion:

1. Substitute C = 100 into the equation:

   $$F=1.8\times 100+32$$

2. Calculate the multiplication:

   $$F=180+32$$

3. Add the numbers together:

   $$F=212$$

Therefore, 100°C is equal to 212°F.

Why This Formula Works

The formula $F=1.8C+32$ is derived from the relationship between the Celsius and Fahrenheit scales. The factor 1.8 (or 95\frac{9}{5}59​) accounts for the difference in the size of the degree units on each scale, while the addition of 32 adjusts for the offset in the zero points of the two scales.

Common Temperature Conversions

Understanding this conversion formula is particularly useful when dealing with temperature-related assignments or homework. Some other common conversions include:

• 0°C to Fahrenheit:
  $F=1.8\times 0+32=32°F$
  (Freezing point of water)

• 37°C to Fahrenheit:
  $F=1.8\times 37+32=98.6°F$
  (Average human body temperature)

• 100°F to Celsius:
  Rearrange the formula to solve for C:

  C=F−321.8C = \frac{F - 32}{1.8}C=1.8F−32​

  Substitute F = 100:

  C=100−321.8=37.78°CC = \frac{100 - 32}{1.8} = 37.78°CC=1.8100−32​=37.78°C

  (A warm day)

The Value of Assignment Help Online

For students grappling with temperature conversions or any other complex mathematical or scientific concepts, seeking "my assignment help," "assignment help online," or "homework help" can be incredibly beneficial. Here’s how:

• Expert Guidance: Professional tutors and assignment helpers can provide detailed explanations and step-by-step solutions, helping you understand the underlying concepts.
• Time Management: If you’re juggling multiple assignments, getting help can free up time, allowing you to focus on other subjects or personal commitments.
• Improved Grades: With expert assistance, you can submit high-quality assignments that meet academic standards, potentially leading to better grades.
• Customized Support: Online assignment help services offer personalized support tailored to your specific needs, whether it’s a detailed explanation of conversion formulas or help with other challenging topics.

Conclusion

Converting temperatures between Celsius and Fahrenheit using the formula C100=F−32180\frac{C}{100} = \frac{F - 32}{180}100C​=180F−32​ is a fundamental skill in science and everyday life. Understanding this process can make temperature-related tasks easier and more intuitive. By breaking down the formula and practicing with real examples like converting 100°C to Fahrenheit, you can master this essential conversion.

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