Answer :
To convert temperatures from Fahrenheit to Celsius, we use the formula:
[tex]\[ C = \frac{5}{9} \times (F - 32) \][/tex]
where [tex]\( C \)[/tex] is the temperature in Celsius and [tex]\( F \)[/tex] is the temperature in Fahrenheit.
1. Converting [tex]\( 98.6^{\circ} F \)[/tex] to Celsius:
- Start with the formula: [tex]\( C = \frac{5}{9} \times (F - 32) \)[/tex]
- Substitute 98.6 for [tex]\( F \)[/tex]:
[tex]\[ C = \frac{5}{9} \times (98.6 - 32) \][/tex]
- Calculate the expression inside the parentheses:
[tex]\[ 98.6 - 32 = 66.6 \][/tex]
- Multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 66.6 = 37.0 \][/tex]
So, [tex]\( 98.6^{\circ} F \)[/tex] is equal to [tex]\( 37.0^{\circ} C \)[/tex].
2. Converting [tex]\( 32^{\circ} F \)[/tex] to Celsius:
- Start with the formula: [tex]\( C = \frac{5}{9} \times (F - 32) \)[/tex]
- Substitute 32 for [tex]\( F \)[/tex]:
[tex]\[ C = \frac{5}{9} \times (32 - 32) \][/tex]
- Calculate the expression inside the parentheses:
[tex]\[ 32 - 32 = 0 \][/tex]
- Multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 0 = 0.0 \][/tex]
So, [tex]\( 32^{\circ} F \)[/tex] is equal to [tex]\( 0.0^{\circ} C \)[/tex].
Therefore, the conversions are:
- [tex]\( 98.6^{\circ} F \)[/tex] converts to [tex]\( 37.0^{\circ} C \)[/tex].
- [tex]\( 32^{\circ} F \)[/tex] converts to [tex]\( 0.0^{\circ} C \)[/tex].
[tex]\[ C = \frac{5}{9} \times (F - 32) \][/tex]
where [tex]\( C \)[/tex] is the temperature in Celsius and [tex]\( F \)[/tex] is the temperature in Fahrenheit.
1. Converting [tex]\( 98.6^{\circ} F \)[/tex] to Celsius:
- Start with the formula: [tex]\( C = \frac{5}{9} \times (F - 32) \)[/tex]
- Substitute 98.6 for [tex]\( F \)[/tex]:
[tex]\[ C = \frac{5}{9} \times (98.6 - 32) \][/tex]
- Calculate the expression inside the parentheses:
[tex]\[ 98.6 - 32 = 66.6 \][/tex]
- Multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 66.6 = 37.0 \][/tex]
So, [tex]\( 98.6^{\circ} F \)[/tex] is equal to [tex]\( 37.0^{\circ} C \)[/tex].
2. Converting [tex]\( 32^{\circ} F \)[/tex] to Celsius:
- Start with the formula: [tex]\( C = \frac{5}{9} \times (F - 32) \)[/tex]
- Substitute 32 for [tex]\( F \)[/tex]:
[tex]\[ C = \frac{5}{9} \times (32 - 32) \][/tex]
- Calculate the expression inside the parentheses:
[tex]\[ 32 - 32 = 0 \][/tex]
- Multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 0 = 0.0 \][/tex]
So, [tex]\( 32^{\circ} F \)[/tex] is equal to [tex]\( 0.0^{\circ} C \)[/tex].
Therefore, the conversions are:
- [tex]\( 98.6^{\circ} F \)[/tex] converts to [tex]\( 37.0^{\circ} C \)[/tex].
- [tex]\( 32^{\circ} F \)[/tex] converts to [tex]\( 0.0^{\circ} C \)[/tex].
