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Answer :
- The problem requires converting a temperature from Fahrenheit to Celsius.
- The conversion formula is $C = \frac{5}{9}(F - 32)$.
- Substitute $F = 86$ into the formula: $C = \frac{5}{9}(86 - 32) = \frac{5}{9}(54)$.
- Calculate the Celsius temperature: $C = 30$. The final answer is $\boxed{30}$
### Explanation
1. Understanding the Problem
We are given a temperature of $86^{\circ} F$ in Fahrenheit and we want to convert it to Celsius. To do this, we will use the formula that relates Fahrenheit and Celsius temperatures.
2. Stating the Conversion Formula
The formula to convert Fahrenheit ($F$) to Celsius ($C$) is given by:
$$C = \frac{5}{9}(F - 32)$$
This formula tells us that to convert from Fahrenheit to Celsius, we first subtract 32 from the Fahrenheit temperature, and then multiply the result by $\frac{5}{9}$.
3. Applying the Formula
Now, we substitute the given Fahrenheit temperature, $F = 86^{\circ} F$, into the formula:
$$C = \frac{5}{9}(86 - 32)$$
$$C = \frac{5}{9}(54)$$
$$C = 30$$
So, the temperature in Celsius is $30^{\circ} C$.
4. Final Answer
Therefore, $86^{\circ} F$ is equal to $30^{\circ} C$.
### Examples
Temperature conversion is a common task in many real-life situations. For example, if you are traveling to a country that uses Celsius and you are used to Fahrenheit, you will need to convert temperatures to understand the weather. Similarly, in scientific contexts, it's often necessary to convert between Fahrenheit and Celsius for experiments or data analysis. Knowing how to convert between these scales allows for better understanding and communication of temperature-related information.
- The conversion formula is $C = \frac{5}{9}(F - 32)$.
- Substitute $F = 86$ into the formula: $C = \frac{5}{9}(86 - 32) = \frac{5}{9}(54)$.
- Calculate the Celsius temperature: $C = 30$. The final answer is $\boxed{30}$
### Explanation
1. Understanding the Problem
We are given a temperature of $86^{\circ} F$ in Fahrenheit and we want to convert it to Celsius. To do this, we will use the formula that relates Fahrenheit and Celsius temperatures.
2. Stating the Conversion Formula
The formula to convert Fahrenheit ($F$) to Celsius ($C$) is given by:
$$C = \frac{5}{9}(F - 32)$$
This formula tells us that to convert from Fahrenheit to Celsius, we first subtract 32 from the Fahrenheit temperature, and then multiply the result by $\frac{5}{9}$.
3. Applying the Formula
Now, we substitute the given Fahrenheit temperature, $F = 86^{\circ} F$, into the formula:
$$C = \frac{5}{9}(86 - 32)$$
$$C = \frac{5}{9}(54)$$
$$C = 30$$
So, the temperature in Celsius is $30^{\circ} C$.
4. Final Answer
Therefore, $86^{\circ} F$ is equal to $30^{\circ} C$.
### Examples
Temperature conversion is a common task in many real-life situations. For example, if you are traveling to a country that uses Celsius and you are used to Fahrenheit, you will need to convert temperatures to understand the weather. Similarly, in scientific contexts, it's often necessary to convert between Fahrenheit and Celsius for experiments or data analysis. Knowing how to convert between these scales allows for better understanding and communication of temperature-related information.
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