Answer :
Sure, let's convert 56 degrees Fahrenheit (°F) to Celsius (°C) using the provided formula.
The formula to convert Fahrenheit to Celsius is:
[tex]\[ C = \frac{5}{9} \cdot (F - 32) \][/tex]
Given:
[tex]\[ F = 56 \; \text{°F} \][/tex]
Step-by-Step Solution:
1. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 56 - 32 = 24 \][/tex]
2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \cdot 24 \][/tex]
3. Calculate the multiplication:
[tex]\[ C = \frac{5 \times 24}{9} = \frac{120}{9} \][/tex]
4. Simplify the fraction:
[tex]\[ \frac{120}{9} \approx 13.3333 \][/tex]
So, 56 degrees Fahrenheit is approximately 13.33 degrees Celsius.
Therefore, 56°F is equal to 13.33°C.
The formula to convert Fahrenheit to Celsius is:
[tex]\[ C = \frac{5}{9} \cdot (F - 32) \][/tex]
Given:
[tex]\[ F = 56 \; \text{°F} \][/tex]
Step-by-Step Solution:
1. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 56 - 32 = 24 \][/tex]
2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \cdot 24 \][/tex]
3. Calculate the multiplication:
[tex]\[ C = \frac{5 \times 24}{9} = \frac{120}{9} \][/tex]
4. Simplify the fraction:
[tex]\[ \frac{120}{9} \approx 13.3333 \][/tex]
So, 56 degrees Fahrenheit is approximately 13.33 degrees Celsius.
Therefore, 56°F is equal to 13.33°C.
