Conversions · Lesson 1 of 2

Convert Fahrenheit to Celsius

Key rules and formulas, worked examples and 3 practice problems with step-by-step solutions.

Divisibility Rules for 3 and 9

Converting ∘F to ∘C

$$C = (F - 32) \times \frac{5}{9}$$

Subtract 32 from the Fahrenheit temperature, then multiply by 5 and divide by 9.

Example

Convert 98.6 °F to Celsius.

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1) $$98.6 - 32 = 66.6$$.

2) $$66.6 \times \frac{5}{9} = 37$$ °C.

Practice problems

  1. Problem 1

    Convert 32 °F to Celsius.

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    Answer: 0 °C

    $$C = (32 - 32) \times \frac{5}{9} = 0 \times \frac{5}{9} = 0$$ °C.

  2. Problem 2

    Convert 68 °F to Celsius.

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    Answer: 20 °C

    $$C = (68 - 32) \times \frac{5}{9} = 36 \times \frac{5}{9} = 20$$ °C.

  3. Problem 3

    Convert -40 °F to Celsius.

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    Answer: $$-40^\circ\text{C}$$

    $$C = (-40 - 32) \times \frac{5}{9} = -72 \times \frac{5}{9} = -40^\circ\text{C}$$ (Fahrenheit and Celsius intersect at $$-40^\circ$$).

Remember

Remember to subtract 32 FIRST before multiplying by $$\frac{5}{9}$$ (or dividing by 1.8).