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Celsius to Fahrenheit: Exact Formula, Mental Shortcut and Chart

The United States reports weather, body temperature and oven settings in degrees Fahrenheit. The UK, Canada, the Netherlands and almost every other country use Celsius, although older British recipes and some Canadian ovens still show Fahrenheit. Unlike length or weight, temperature is not converted by a single multiplication, because the two scales start from different zero points. This guide explains why and shows the quickest reliable methods.

Why you cannot just multiply

On the Celsius scale, water freezes at 0 °C and boils at 100 °C. On the Fahrenheit scale, the same points are 32 °F and 212 °F. So:

  • the scales are offset by 32 degrees at freezing, and
  • 100 Celsius degrees cover the same range as 180 Fahrenheit degrees, so one Celsius degree is 1.8 (9/5) Fahrenheit degrees.

A correct conversion has to handle both the offset and the size of the degree.

The exact formulas

°F = (°C × 9/5) + 32

°C = (°F − 32) × 5/9

Worked example: 25 °C × 1.8 = 45, plus 32 = 77 °F.

Worked example: 98.6 °F − 32 = 66.6, × 5/9 = 37 °C.

Warning: the order matters. For Fahrenheit to Celsius, subtract 32 first, then multiply. Doing it the other way round gives a wrong answer.

The double-and-add-30 shortcut

For weather, an approximation is usually enough:

  1. Double the Celsius figure.
  2. Add 30.

For 15 °C: 15 × 2 = 30, plus 30 = 60 °F. The exact answer is 59 °F. The shortcut is exact at 10 °C (50 °F) and drifts by about 1 °F for every 5 °C away from that, so it is good for everyday weather between about 0 and 25 °C.

Reverse it for Fahrenheit to Celsius: subtract 30, then halve. 70 °F becomes 20 °C (exact: 21.1 °C).

Note: do not use the shortcut for body temperature, medicine or baking. Use the exact formula there.

Weather chart

CelsiusFahrenheitFeels like
−20 °C−4 °FSevere cold
−10 °C14 °FVery cold
0 °C32 °FFreezing
10 °C50 °FCool
15 °C59 °FMild
20 °C68 °FRoom temperature
25 °C77 °FWarm
30 °C86 °FHot
35 °C95 °FVery hot
40 °C104 °FHeatwave

Body temperature

CelsiusFahrenheit
36.5 °C97.7 °F
37.0 °C98.6 °F
38.0 °C100.4 °F
39.0 °C102.2 °F
40.0 °C104.0 °F

A temperature of 38 °C (100.4 °F) or above is commonly treated as a fever. This chart is for conversion only and is not medical advice.

Oven temperatures

CelsiusFahrenheitUK gas mark
140 °C275 °F1
150 °C300 °F2
170 °C325 °F3
180 °C350 °F4
190 °C375 °F5
200 °C400 °F6
220 °C425 °F7
230 °C450 °F8

Recipe temperatures are rounded to convenient numbers, so 180 °C (exactly 356 °F) is written as 350 °F. For a fan (convection) oven, many recipes suggest lowering the temperature by about 20 °C.

The one point where both scales agree

At −40, Celsius and Fahrenheit give the same number: −40 °C = −40 °F. You can check it with the formula: −40 × 1.8 = −72, plus 32 = −40.

Convert any temperature

Our temperature converter handles Celsius, Fahrenheit and Kelvin (K = °C + 273.15) and shows each step of the working.

Frequently asked questions

What is 0 °F in Celsius? (0 − 32) × 5/9 = −17.8 °C.

What is 100 °F in Celsius? (100 − 32) × 5/9 = 37.8 °C.

Why does the US still use Fahrenheit? Habit and cost. The US never completed a switch to metric, so weather services, schools and appliance makers kept Fahrenheit for everyday use, while science and medicine in the US use Celsius.

Written and reviewed by

Dr. Muhammad Amjad Khadim PhD Mathematics

Dr. Muhammad Amjad Khadim holds a PhD in Mathematics. He writes and reviews the guides on pakmath.com and checks every formula, conversion factor and worked example against published standards and official guidance before it goes live. Spotted an error? Tell us and it will be corrected.

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