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Temperature Conversion: Celsius, Fahrenheit, and Kelvin Formulas

Master temperature conversion between Celsius, Fahrenheit, and Kelvin. Learn the exact formulas and practical examples for accurate conversion.

Temperature conversion is unique because it involves offsets, not just multiplication factors. Converting between Celsius and Fahrenheit requires both multiplication and addition.

The Three Major Temperature Scales

Celsius (°C) is used worldwide for everyday temperatures. Water freezes at 0°C and boils at 100°C. Fahrenheit (°F) is used primarily in the US, with water freezing at 32°F and boiling at 212°F. Kelvin (K) is the SI unit for science, starting at absolute zero (−273.15°C).

Conversion Formulas

  • °C to °F: multiply by 9/5, then add 32
  • °F to °C: subtract 32, then multiply by 5/9
  • °C to K: add 273.15
  • K to °C: subtract 273.15

These are exact definitions. Note: a 1°C change equals a 1 K change, but a 1°F change is only 5/9 of a degree.

Quick Mental Shortcuts

For a rough °F to °C conversion: subtract 30 and divide by 2. So 70°F → 20°C (actual: 21.1°C). For °C to °F: double and add 30. So 20°C → 70°F (actual: 68°F). Accurate within about 1–2 degrees — useful for weather.

Important References

Normal body temperature: 37°C = 98.6°F = 310.15 K. Room temperature: ~20–22°C = 68–72°F. Absolute zero: 0 K = −273.15°C = −459.67°F — the lowest possible temperature.

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Frequently Asked Questions

What is the formula to convert Celsius to Fahrenheit?
Multiply the Celsius temperature by 9/5 (or 1.8), then add 32. Example: 25°C × 1.8 + 32 = 77°F.
Why do Fahrenheit and Celsius intersect at -40?
At -40°, both scales read the same value. Solving C = C × 9/5 + 32 gives C = -40.

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