Celsius to Fahrenheit Conversion: Formula, Steps and Examples

Chemistry · Some Basic Concepts Of Chemistry · NEET

To change a temperature from Celsius to Fahrenheit, use the NCERT formula: °F = (9/5)(°C) + 32. First multiply the Celsius value by 9/5 (which is 1.8), then add 32. Memory hook: "times 1.8, then plus 32" — do the multiply first, the add last.
Celsius to Fahrenheit: °F = (9/5)(°C) + 32Celsius (°C)Fahrenheit (°F)0°C32°F100°C212°Ffreezing & boiling points of water line upMultiply by 9/5 first, then add 32
The Celsius and Fahrenheit scales match at water's freezing point (0 °C = 32 °F) and boiling point (100 °C = 212 °F); the formula °F = (9/5)(°C) + 32 connects them.

Your doubts, answered

What is the exact Celsius to Fahrenheit formula in NCERT?

NCERT Class 11 Chemistry (Some Basic Concepts of Chemistry) gives: °F = (9/5)(°C) + 32. You put the Celsius value in place of °C, multiply by 9/5, and then add 32. This is the only formula NEET expects.

Is it 9/5 or 5/9 when going from Celsius to Fahrenheit?

Use 9/5 (which equals 1.8) when going Celsius to Fahrenheit. You use 5/9 only for the reverse direction (Fahrenheit to Celsius). Simple check: Fahrenheit numbers are larger, so you multiply by the bigger fraction 9/5. If you got a smaller answer, you used the wrong fraction.

Why do we add 32 in the formula?

The two scales do not start at the same point. Water freezes at 0 °C but at 32 °F. So even at 0 °C, Fahrenheit already reads 32. The +32 shifts the answer up so both scales agree at the freezing point of water.

Do I multiply first or add 32 first?

Multiply first, then add. Order of operations: (9/5)(°C) is done before adding 32. Example for 40 °C: first 40 × 9/5 = 72, then 72 + 32 = 104 °F. If you add 32 first you get the wrong answer.

What is 0 °C and 100 °C in Fahrenheit?

0 °C = (9/5)(0) + 32 = 32 °F (freezing point of water). 100 °C = (9/5)(100) + 32 = 180 + 32 = 212 °F (boiling point of water). So the Celsius scale runs 0 to 100 while Fahrenheit runs 32 to 212 for the same range.

How do I convert Fahrenheit back to Celsius?

Rearrange the same formula: °C = (5/9)(°F − 32). First subtract 32, then multiply by 5/9. It is the exact reverse of Celsius to Fahrenheit, so learn one formula well and you can flip it.

⚠️ The NEET trap
Multiplying by 5/9 or adding 32 before multiplying, e.g. writing 37 °C as (5/9)(37)+32 or (37+32)×9/5.
Use °F = (9/5)(°C) + 32. Multiply by 9/5 first, add 32 last. So 37 °C = (9/5)(37) + 32 = 66.6 + 32 = 98.6 °F (normal body temperature).
🧠 Celsius-to-Fahrenheit = bigger numbers, so multiply by the BIGGER fraction 9/5, then plus 32 at the END.

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Frequently asked

What is the formula to convert Celsius to Fahrenheit?

°F = (9/5)(°C) + 32. Multiply the Celsius value by 9/5 (1.8) and then add 32.

What is 37 °C in Fahrenheit?

37 °C = (9/5)(37) + 32 = 66.6 + 32 = 98.6 °F, which is normal human body temperature.

Is Fahrenheit or Kelvin the SI unit of temperature?

Kelvin (K) is the SI unit of temperature. Fahrenheit and Celsius are common scales but not SI. NCERT relates them by °F = (9/5)(°C) + 32 and K = °C + 273.15.

Why is 9/5 used and not some other number?

Between freezing and boiling, Celsius covers 100 degrees (0 to 100) while Fahrenheit covers 180 degrees (32 to 212). The ratio 180/100 = 9/5, so each Celsius degree equals 9/5 of a Fahrenheit degree.