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Answer :
- Use the formula $C = \frac{5}{9}(F - 32)$ to convert Fahrenheit to Celsius.
- Substitute $F = 33$ into the formula: $C = \frac{5}{9}(33 - 32)$.
- Calculate the value: $C = \frac{5}{9}(1) = \frac{5}{9}$.
- The temperature in Celsius is $\boxed{\frac{5}{9}}$.
### Explanation
1. Problem Analysis
We are given a temperature of $33^{\circ}F$ and asked to convert it to Celsius. To do this, we will use the formula that relates Fahrenheit and Celsius.
2. Applying the Conversion Formula
The formula to convert Fahrenheit ($F$) to Celsius ($C$) is given by:
$$C = \frac{5}{9}(F - 32)$$
We will substitute the given Fahrenheit temperature, $F = 33^{\circ}F$, into this formula.
3. Calculating Celsius Temperature
Substituting $F = 33$ into the formula, we get:
$$C = \frac{5}{9}(33 - 32)$$
$$C = \frac{5}{9}(1)$$
$$C = \frac{5}{9}$$
As a decimal, this is approximately $0.5556$.
4. Final Answer
Therefore, $33^{\circ}F$ is equal to $\frac{5}{9}^{\circ}C$, which is approximately $0.5556^{\circ}C$.
### Examples
Temperature conversion is a common task in many real-world scenarios. For example, if you are traveling to a country that uses Celsius and the weather forecast is given in Celsius, you can use the conversion formula to understand the temperature in Fahrenheit, which you are more familiar with. Similarly, in scientific research, it's often necessary to convert between Fahrenheit and Celsius depending on the context of the experiment or data being analyzed. Knowing how to convert between these two temperature scales is a practical skill that can be applied in various situations.
- Substitute $F = 33$ into the formula: $C = \frac{5}{9}(33 - 32)$.
- Calculate the value: $C = \frac{5}{9}(1) = \frac{5}{9}$.
- The temperature in Celsius is $\boxed{\frac{5}{9}}$.
### Explanation
1. Problem Analysis
We are given a temperature of $33^{\circ}F$ and asked to convert it to Celsius. To do this, we will use the formula that relates Fahrenheit and Celsius.
2. Applying the Conversion Formula
The formula to convert Fahrenheit ($F$) to Celsius ($C$) is given by:
$$C = \frac{5}{9}(F - 32)$$
We will substitute the given Fahrenheit temperature, $F = 33^{\circ}F$, into this formula.
3. Calculating Celsius Temperature
Substituting $F = 33$ into the formula, we get:
$$C = \frac{5}{9}(33 - 32)$$
$$C = \frac{5}{9}(1)$$
$$C = \frac{5}{9}$$
As a decimal, this is approximately $0.5556$.
4. Final Answer
Therefore, $33^{\circ}F$ is equal to $\frac{5}{9}^{\circ}C$, which is approximately $0.5556^{\circ}C$.
### Examples
Temperature conversion is a common task in many real-world scenarios. For example, if you are traveling to a country that uses Celsius and the weather forecast is given in Celsius, you can use the conversion formula to understand the temperature in Fahrenheit, which you are more familiar with. Similarly, in scientific research, it's often necessary to convert between Fahrenheit and Celsius depending on the context of the experiment or data being analyzed. Knowing how to convert between these two temperature scales is a practical skill that can be applied in various situations.
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