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Fahrenheit to Celsius Converter

Convert Fahrenheit to Celsius with °C = (°F − 32) × 5/9. Includes a weather and body-temperature table, a quick estimate you can do in your head, and worked examples.


Fahrenheit to Celsius

Formula

Subtract 32 first, then multiply by 5/9.

∘C=(∘F−32)×59^\circ\text{C} = \left( ^\circ\text{F} - 32 \right) \times \frac{5}{9}

The order matters. Subtracting 32 lines the two zeros up on the freezing point of water; multiplying by 5/9 then shrinks Fahrenheit's smaller degrees to Celsius-sized ones. Multiplying before subtracting gives the wrong answer.

Worked example

Convert a 72 °F thermostat setting:

(72−32)×59=40×0.5556=22.2 ∘C\left(72 - 32\right) \times \frac{5}{9} = 40 \times 0.5556 = 22.2\,^\circ\text{C}

And a 101 °F fever:

(101−32)×59=69×0.5556=38.3 ∘C\left(101 - 32\right) \times \frac{5}{9} = 69 \times 0.5556 = 38.3\,^\circ\text{C}

Conversion table

Fahrenheit (°F)Celsius (°C)
-40-40
0-17.77778
20-6.666667
320
5010
6820
7222.22222
8026.66667
98.637
10037.77778
10440
15065.55556
212100
350176.6667

Do it in your head

Subtract 30, then halve. For 72 °F that gives 21 °C against a true 22.2 °C — fine for deciding whether you need a coat. The estimate reads a little low in mild weather and a little high in cold weather.

For an exact mental method: subtract 32, halve it, then add a ninth of that half back. For 72 °F: 40 → 20 → 20 + 2.2 = 22.2 °C.

Reference temperatures

  • Very cold winter day — 0 °F = −17.8 °C
  • Water freezes — 32 °F = 0 °C
  • Chilly day — 50 °F = 10 °C
  • Mild day — 68 °F = 20 °C
  • Room temperature — 72 °F = 22.2 °C
  • Warm day — 80 °F = 26.7 °C
  • Body temperature — 98.6 °F = 37 °C
  • Fever worth watching — 104 °F = 40 °C
  • Water boils — 212 °F = 100 °C
  • Baking a cake — 350 °F = 176.7 °C

Body temperature and fever

Fahrenheit's finer degrees are why US clinical readings are quoted in it: a single Fahrenheit degree is a smaller step, so a fever reads in whole numbers. The Celsius equivalents are worth memorising — 100 °F is 37.8 °C, 101 °F is 38.3 °C, 102 °F is 38.9 °C and 103 °F is 39.4 °C. Clinical advice thresholds differ by country, so check local guidance rather than converting a rule of thumb.

FAQ

What is 1 °F in Celsius? −17.2 °C. But a difference of 1 °F is a difference of only 0.556 °C — the 32 applies to absolute readings, not to gaps between them.

Why subtract 32 before multiplying? Because the scales have different zero points. The subtraction moves Fahrenheit's zero onto Celsius's zero; only then is the scaling valid.

What is 32 °F in Celsius? Exactly 0 °C, the freezing point of water.

Is there a temperature where both scales agree? Yes, −40. It reads −40 in both.

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