Converting 109° Fahrenheit to Celsius
Real Tutor Solution
Quick Answer
42.78°C
Step-by-step Solution
- Use the formula to convert Fahrenheit to Celsius:
\[C = \frac { 5} { 9} \times ( F - 32) \] - Substitute \(F = 109\):
\[C = \frac { 5} { 9} \times ( 109 - 32) = \frac { 5} { 9} \times 77 = \frac { 385} { 9} \approx 42.78\]
Supplemental Knowledge
- Converting temperatures between Fahrenheit and Celsius is a common task in science and everyday life. The formulas used for these conversions are:
- To convert Fahrenheit to Celsius:
\(C = \frac { 5} { 9} \times ( F - 32) \) - To convert Celsius to Fahrenheit:
\(F = \frac { 9} { 5} \times C + 32\)
For example: - To convert 68°F to Celsius:
\(C = \frac { 5} { 9} \times ( 68 - 32) = \frac { 5} { 9} \times 36 = 20° C\) - To convert 20°C to Fahrenheit:
\(F = \frac { 9} { 5} \times 20 + 32 = 36 + 32 = 68° F\)
From Concepts to Reality
Understanding temperature conversion is essential in various real-life scenarios. For instance:
- Traveling Abroad: When traveling to countries using different temperature scales, knowing how to convert temperatures helps you pack appropriately and plan activities.
- Cooking: Many recipes use specific temperature scales. If a recipe from the U.S. specifies baking at 350°F, converting this to Celsius (approximately 177°C) ensures your dish turns out correctly.
- Weather Reports: If you're accustomed to one scale, converting weather forecasts from another scale helps you understand the conditions better.
Imagine traveling between the U.S. (where Fahrenheit is used frequently) and Europe, which uses Celsius more frequently, knowing how to convert temperatures can ensure you dress for any potential conditions that might arise during your journey.
Mastering temperature conversions can make your daily life smoother and more efficient. At UpStudy, we provide tools and resources that simplify these calculations, ensuring you always have accurate information at your fingertips. Our live tutor question bank and AI-powered problem-solving services are designed to help you tackle any scientific challenge with confidence.
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