My Calculator Stack · Units formulas
Units formulas
Printable companion to the multi-family Unit Converter: the proportional base-unit scaling identity and the Celsius–Fahrenheit–Kelvin maps from that tool’s How it works. Dedicated length, mass, or temperature converter pages share the same conversion idea in a single-family UI.
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\[ x_{\text{to}} = x_{\text{from}} \times \frac{f_{\text{from}}}{f_{\text{to}}} \]
For length and mass, convert to a shared base unit, then scale to the target unit.
\[ ^{\circ}\!F = ^{\circ}\!C \times \tfrac{9}{5} + 32 \]
Temperature scales are related by linear transforms. Celsius, Fahrenheit, and Kelvin differ by both slope and offset.
\[ K = ^{\circ}\!C + 273.15 \]
Kelvin is Celsius shifted by absolute zero.
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