The Correct Answer and Explanation is:
Correct Answer: 36.7
Explanation:
The image displays a temperature conversion problem asking to find the Celsius equivalent of 98 degrees Fahrenheit (°F). To perform this conversion, we use the standard mathematical formula that relates the Fahrenheit and Celsius scales: C = (F – 32) × 5/9. In this equation, ‘C’ represents the temperature in degrees Celsius, and ‘F’ represents the temperature in degrees Fahrenheit.
The first step is to substitute the given Fahrenheit value into the formula. So, we replace ‘F’ with 98, which gives us C = (98 – 32) × 5/9.
Next, we solve the expression within the parentheses. Subtracting 32 from 98 gives us 66. This initial subtraction is necessary because the freezing point of water is defined as 32°F on the Fahrenheit scale, whereas it is 0°C on the Celsius scale. The formula adjusts for this difference in the zero points.
After finding the result of 66, we proceed with the next part of the formula, which is to multiply by 5/9. This fraction accounts for the different size of the degree units on each scale; a Celsius degree is larger than a Fahrenheit degree. The calculation is 66 multiplied by 5, which equals 330.
Finally, we divide 330 by 9. This gives a result of 36.666…, which is a repeating decimal. For practical purposes, especially in contexts like medicine or weather, this number is usually rounded. When rounded to one decimal place, the final answer is 36.7°C.
This temperature is very close to the average normal human body temperature, which is commonly cited as 98.6°F, or exactly 37°C. Therefore, understanding this conversion is useful in many real-world situations.
