Convert this temperature into Celsius.

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A temperature of 100.4 Fahrenheit (F) is recorded. Convert this temperature into Celsius.

Final Answer:
To convert 100.4°F to Celsius, use the formula C=\frac{5}{9} \times(F-32). This calculation results in approximately 37.99°C.

Explanation:
To convert the temperature from Fahrenheit to Celsius, we can use the formula:

C=\frac{5}{9} \times(F-32)

where:

C is the temperature in Celsius
F is the temperature in Fahrenheit
In this case, we have a temperature of 100.4°F. We will substitute F with 100.4 in the formula:

C=\frac{5}{9} \times(100.4-32)

First, subtract 32 from 100.4:

100.4−32=68.4

Now we substitute this value back into the formula:

C=\frac{5}{9} \times 68.4

Next, multiply 68.4 by \frac{5}{9}:

\frac{5}{9} \times 68.4 \approx 37.99

Therefore, a temperature of 100.4°F is equivalent to approximately 37.99°C.

Examples & Evidence:

An example of temperature conversion is when measuring a fever; if the recorded temperature is 101°F, you can apply the same formula to find its Celsius equivalent. Another everyday scenario is checking weather forecasts where you might need to switch between Fahrenheit and Celsius depending on your location.

The formula for converting Fahrenheit to Celsius is widely accepted in scientific and educational contexts. It is rooted in the relationship between the two temperature scales, which is commonly taught in mathematics and science classes.

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