Measurement, time & conversions · Topic 13 of 15
Temperature: Fahrenheit ↔ Celsius
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Temperature: Fahrenheit ↔ Celsius
°F = 9/5 °C + 32 and °C = 5/9 (°F − 32); anchor answers to 0/32, 37/98.6 and 100/212.
The rules
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Worked examples
°C → °F or °F → °C?
Commonly confused| Celsius → Fahrenheit | Fahrenheit → Celsius | |
|---|---|---|
| Formula | °F = 9/5 × °C + 32 | °C = 5/9 × (°F − 32) |
| Order of steps | Multiply, then add 32 | Subtract 32, then multiply |
| Fraction | 9/5 (= 1.8) | 5/9 |
| Example | 39 °C = 102.2 °F | 77 °F = 25 °C |
Common mistakes
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To Fahrenheit, add 32 last; to Celsius, take 32 away first.
Sources · OpenStax Prealgebra 2e §7.5 Systems of Measurement (Fahrenheit and Celsius) · OpenStax College Physics 2e §13.1 Temperature · Union Test Prep — HESI A2 Mathematics study guide, p. 5: Temperature · CCRI Tutoring Center — HESI Math (Celsius/Fahrenheit among the topics) · Built from the verified NurseSavvy HESI A2 fact map (facts reviewed 2026-10-16). HESI is a trademark of Elsevier; NurseSavvy is not affiliated with Elsevier.
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