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Degrees Fahrenheit to degrees Celsius converter

Convert degrees Fahrenheit to degrees Celsius (Fahrenheit to Celsius) with the exact formula, a conversion chart and worked steps.

Updated Checked against 3 worked examples

°F
Try
Degrees Celsius
°C
Degrees Celsius: 37 °C
Shown to 12 significant figures, half-up
Conversion
98.6 °F = 37 °C

98.6 degrees Fahrenheit is 37 degrees Celsius.

Degrees Fahrenheit to degrees Celsius

0501001502000100200300400°F°C98.6 → 37
Fahrenheit to Celsius chart (14 rows)
Degrees FahrenheitDegrees Celsius
-40−40
0−17.7778
320
5010
6015.5556
6820
7222.2222
8026.6667
9032.2222
98.637
10037.7778
212100
350176.6667
400204.4444
How it's calculated S
  1. Apply the formula

    ∘C=(∘F−32)×59⇒98.6 °F=37 °C{}^\circ C = ({}^\circ F - 32) \times \tfrac{5}{9}\quad\Rightarrow\quad 98.6\ \text{°F} = 37\ \text{°C}

About the degrees Fahrenheit to degrees Celsius converter

A Fahrenheit reading often needs conversion for a metric recipe or weather comparison. Subtract the scale's offset before applying the degree-size ratio. An oven's marked setting and its actual measured temperature can differ even when the unit conversion is exact.

Degrees Fahrenheit and degrees Celsius are not related by a single multiplier because the two scales start from different zero points, so the conversion uses a formula. 98.6 °F is 37 °C.

The Celsius and kelvin scales have the same step size; a Fahrenheit degree is 5/9 of a Celsius degree. Absolute zero is 0 K, −273.15 °C or −459.67 °F, and inputs below it are rejected.

Worked examples

98.6 °F to °C

Degrees Fahrenheit (°F)
98.6 °F
Degrees Celsius
37 °C

Checked against: Exact-fraction computation from the legal unit definitions (scripts/gen-pairs.py, Python fractions)

60 °F to °C

Degrees Fahrenheit (°F)
60 °F
Degrees Celsius
15.5555555556 °C

Checked against: Exact-fraction computation from the legal unit definitions (scripts/gen-pairs.py, Python fractions)

350 °F to °C

Degrees Fahrenheit (°F)
350 °F
Degrees Celsius
176.666666667 °C

Checked against: Exact-fraction computation from the legal unit definitions (scripts/gen-pairs.py, Python fractions)

Questions

When would I convert Fahrenheit to Celsius?

A Fahrenheit reading often needs conversion for a metric recipe or weather comparison. Subtract the scale's offset before applying the degree-size ratio. An oven's marked setting and its actual measured temperature can differ even when the unit conversion is exact.

What is the formula to convert Fahrenheit to Celsius?

Subtract 32 and multiply by 5/9: (98.6 °F − 32) × 5/9 = 37 °C.

Is there a quick way to convert Fahrenheit to Celsius in your head?

Subtract 30 and halve the result. It is exact at 50 °F (10 °C) and gives 20 °C for 70 °F instead of 21.1 °C; the error grows by about 0.5 °C for every 9 °F away from 50.

At what temperature are Fahrenheit and Celsius equal?

At −40: −40 °F is exactly −40 °C, because solving F = C × 9/5 + 32 with F = C gives C = −40.

How accurate is the degrees Fahrenheit to degrees Celsius converter?

Accuracy depends on your inputs and the method's assumptions. Decimal arithmetic uses 50 significant digits, but estimates, numerical methods and source data can be less precise; the displayed rounding does not remove those limits. It is checked against 3 worked examples whose answers come from independent sources; for example, “98.6 °F to °C” is checked against Exact-fraction computation from the legal unit definitions (scripts/gen-pairs.py, Python fractions).

Where does the method come from?

NIST SP 811 (2008), Guide for the Use of the International System of Units, Appendix B; NIST Handbook 44, Appendix C: General tables of units of measurement; BIPM, The International System of Units (SI Brochure), 9th edition.

About this calculator

∘C=(∘F−32)×59{}^\circ C = ({}^\circ F - 32) \times \tfrac{5}{9}

Sources

  1. NIST SP 811 (2008), Guide for the Use of the International System of Units, Appendix B
  2. NIST Handbook 44, Appendix C: General tables of units of measurement
  3. BIPM, The International System of Units (SI Brochure), 9th edition

Checked against references

3 worked examples with independently sourced answers ship with this calculator. They run in the test suite; you can run them here too.

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