Answer :
- Substitute the given Fahrenheit temperature into the conversion formula: $C = \frac{5}{9}(F - 32)$.
- Calculate the value inside the parentheses: $254.5 - 32 = 222.5$.
- Multiply the result by $\frac{5}{9}$: $C = \frac{5}{9} \times 222.5 = 123.6111...$.
- Round the result to one decimal place: The temperature in Celsius is approximately $\boxed{123.6}$
### Explanation
1. Understanding the Problem
We are given a temperature in Fahrenheit, $254.5^{\circ}F$, and we need to convert it to Celsius. The formula to convert Fahrenheit to Celsius is: $$C = \frac{5}{9}(F - 32)$$, where $C$ is the temperature in Celsius and $F$ is the temperature in Fahrenheit.
2. Substituting the Value
Now, we substitute the given Fahrenheit temperature, $F = 254.5$, into the formula:$$C = \frac{5}{9}(254.5 - 32)$$
3. Calculating the Difference
First, we calculate the value inside the parentheses:$$254.5 - 32 = 222.5$$
4. Multiplying by 5/9
Next, we multiply the result by $\frac{5}{9}$:$$C = \frac{5}{9} \times 222.5$$$$C = \frac{5 \times 222.5}{9}$$$$C = \frac{1112.5}{9}$$$$C = 123.61111111111111$$Rounding to one decimal place, we get $C \approx 123.6$.
5. Final Answer
Therefore, $254.5^{\circ}F$ is approximately equal to $123.6^{\circ}C$.
### Examples
Temperature conversion is a common task in many real-world scenarios. For example, when traveling to a country that uses a different temperature scale, you need to convert temperatures to understand the weather forecast. Similarly, in scientific research, it's often necessary to convert temperatures between Fahrenheit and Celsius for data analysis and reporting. Understanding temperature conversion helps in making informed decisions in various aspects of life, from cooking to healthcare.
- Calculate the value inside the parentheses: $254.5 - 32 = 222.5$.
- Multiply the result by $\frac{5}{9}$: $C = \frac{5}{9} \times 222.5 = 123.6111...$.
- Round the result to one decimal place: The temperature in Celsius is approximately $\boxed{123.6}$
### Explanation
1. Understanding the Problem
We are given a temperature in Fahrenheit, $254.5^{\circ}F$, and we need to convert it to Celsius. The formula to convert Fahrenheit to Celsius is: $$C = \frac{5}{9}(F - 32)$$, where $C$ is the temperature in Celsius and $F$ is the temperature in Fahrenheit.
2. Substituting the Value
Now, we substitute the given Fahrenheit temperature, $F = 254.5$, into the formula:$$C = \frac{5}{9}(254.5 - 32)$$
3. Calculating the Difference
First, we calculate the value inside the parentheses:$$254.5 - 32 = 222.5$$
4. Multiplying by 5/9
Next, we multiply the result by $\frac{5}{9}$:$$C = \frac{5}{9} \times 222.5$$$$C = \frac{5 \times 222.5}{9}$$$$C = \frac{1112.5}{9}$$$$C = 123.61111111111111$$Rounding to one decimal place, we get $C \approx 123.6$.
5. Final Answer
Therefore, $254.5^{\circ}F$ is approximately equal to $123.6^{\circ}C$.
### Examples
Temperature conversion is a common task in many real-world scenarios. For example, when traveling to a country that uses a different temperature scale, you need to convert temperatures to understand the weather forecast. Similarly, in scientific research, it's often necessary to convert temperatures between Fahrenheit and Celsius for data analysis and reporting. Understanding temperature conversion helps in making informed decisions in various aspects of life, from cooking to healthcare.
