We appreciate your visit to Barbara is converting tex 78 circ F tex to degrees Celsius First she subtracts 32 from 78 What is the next step A Multiply 46. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
- Subtract 32 from the Fahrenheit temperature: $78 - 32 = 46$.
- Multiply the result by $\frac{5}{9}$ to convert to Celsius: $\frac{5}{9} Imes 46$.
- The next step is to multiply 46 by $\frac{5}{9}$.
- The final answer is to multiply 46 by $\boxed{\frac{5}{9}}$.
### Explanation
1. Understanding the Conversion Formula
We are converting Fahrenheit to Celsius. The formula for this conversion is given by:
$$C = \frac{5}{9}(F - 32)$$
where $C$ is the temperature in Celsius and $F$ is the temperature in Fahrenheit.
2. Performing the Subtraction
Barbara starts by subtracting 32 from the Fahrenheit temperature, which is 78 degrees. So, she calculates:
$$78 - 32 = 46$$
3. Multiplying by 5/9
The next step is to multiply the result (46) by $\frac{5}{9}$. This gives us the temperature in Celsius:
$$C = \frac{5}{9} \times 46 = \frac{230}{9} \approx 25.56$$
4. Conclusion
Therefore, the next step is to multiply 46 by $\frac{5}{9}$.
### Examples
Converting temperature is a common task in many real-life situations. For example, when traveling to a country that uses Celsius, you might need to convert the local weather forecast from Celsius to Fahrenheit to understand how hot or cold it is. Similarly, in scientific experiments, you may need to convert temperatures between Fahrenheit and Celsius to ensure consistency in your data.
- Multiply the result by $\frac{5}{9}$ to convert to Celsius: $\frac{5}{9} Imes 46$.
- The next step is to multiply 46 by $\frac{5}{9}$.
- The final answer is to multiply 46 by $\boxed{\frac{5}{9}}$.
### Explanation
1. Understanding the Conversion Formula
We are converting Fahrenheit to Celsius. The formula for this conversion is given by:
$$C = \frac{5}{9}(F - 32)$$
where $C$ is the temperature in Celsius and $F$ is the temperature in Fahrenheit.
2. Performing the Subtraction
Barbara starts by subtracting 32 from the Fahrenheit temperature, which is 78 degrees. So, she calculates:
$$78 - 32 = 46$$
3. Multiplying by 5/9
The next step is to multiply the result (46) by $\frac{5}{9}$. This gives us the temperature in Celsius:
$$C = \frac{5}{9} \times 46 = \frac{230}{9} \approx 25.56$$
4. Conclusion
Therefore, the next step is to multiply 46 by $\frac{5}{9}$.
### Examples
Converting temperature is a common task in many real-life situations. For example, when traveling to a country that uses Celsius, you might need to convert the local weather forecast from Celsius to Fahrenheit to understand how hot or cold it is. Similarly, in scientific experiments, you may need to convert temperatures between Fahrenheit and Celsius to ensure consistency in your data.
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