Answer :
To convert temperatures between Celsius and Fahrenheit, we use two key formulas:
1. To convert from Fahrenheit to Celsius:
[tex]\[ C = \frac{5}{9} (F - 32) \][/tex]
2. To convert from Celsius to Fahrenheit:
[tex]\[ F = \frac{9}{5} C + 32 \][/tex]
### Problem 1: Convert 80 degrees Fahrenheit to Celsius
- Plug the Fahrenheit temperature (80 degrees) into the formula for conversion to Celsius:
[tex]\[ C = \frac{5}{9} (80 - 32) \][/tex]
- Calculate inside the parenthesis first:
[tex]\[ 80 - 32 = 48 \][/tex]
- Then multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 48 \][/tex]
- Do the multiplication:
[tex]\[ C = \frac{5 \times 48}{9} = \frac{240}{9} \][/tex]
- Divide:
[tex]\[ C \approx 26.7 \][/tex]
So, 80 degrees Fahrenheit is approximately 26.7 degrees Celsius.
### Problem 2: Convert 35 degrees Celsius to Fahrenheit
- Plug the Celsius temperature (35 degrees) into the formula for conversion to Fahrenheit:
[tex]\[ F = \frac{9}{5} \times 35 + 32 \][/tex]
- Start with the multiplication:
[tex]\[ F = \frac{9 \times 35}{5} + 32 \][/tex]
- Simplify the multiplication and division:
[tex]\[ F = 63 + 32 \][/tex]
- Add 32:
[tex]\[ F = 95 \][/tex]
So, 35 degrees Celsius is equivalent to 95 degrees Fahrenheit.
Overall, if the temperature is 80 degrees Fahrenheit, it's about 26.7 degrees Celsius, and if the temperature is 35 degrees Celsius, it's 95 degrees Fahrenheit.
1. To convert from Fahrenheit to Celsius:
[tex]\[ C = \frac{5}{9} (F - 32) \][/tex]
2. To convert from Celsius to Fahrenheit:
[tex]\[ F = \frac{9}{5} C + 32 \][/tex]
### Problem 1: Convert 80 degrees Fahrenheit to Celsius
- Plug the Fahrenheit temperature (80 degrees) into the formula for conversion to Celsius:
[tex]\[ C = \frac{5}{9} (80 - 32) \][/tex]
- Calculate inside the parenthesis first:
[tex]\[ 80 - 32 = 48 \][/tex]
- Then multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 48 \][/tex]
- Do the multiplication:
[tex]\[ C = \frac{5 \times 48}{9} = \frac{240}{9} \][/tex]
- Divide:
[tex]\[ C \approx 26.7 \][/tex]
So, 80 degrees Fahrenheit is approximately 26.7 degrees Celsius.
### Problem 2: Convert 35 degrees Celsius to Fahrenheit
- Plug the Celsius temperature (35 degrees) into the formula for conversion to Fahrenheit:
[tex]\[ F = \frac{9}{5} \times 35 + 32 \][/tex]
- Start with the multiplication:
[tex]\[ F = \frac{9 \times 35}{5} + 32 \][/tex]
- Simplify the multiplication and division:
[tex]\[ F = 63 + 32 \][/tex]
- Add 32:
[tex]\[ F = 95 \][/tex]
So, 35 degrees Celsius is equivalent to 95 degrees Fahrenheit.
Overall, if the temperature is 80 degrees Fahrenheit, it's about 26.7 degrees Celsius, and if the temperature is 35 degrees Celsius, it's 95 degrees Fahrenheit.
