In a professional laboratory environment, a technician uses the formula F = rac{9}{5}C + 32 to monitor equipment temperatures. Which of the following equations correctly represents this formula when it is solved for the Celsius temperature ($C$)?

A laboratory technician is using the formula $F = \frac{9}{5}C + 32$ to calibrate equipment. To solve for the Celsius temperature ($C$), the technician must follow a specific sequence of algebraic steps. Arrange the steps below in the correct order to isolate $C$.

Isolating Celsius in Temperature Conversion

A quality control technician at a chemical manufacturing plant uses the formula $F = \frac{9}{5}C + 32$ to monitor the temperature of reaction vats. To convert Fahrenheit records back to Celsius ($C$), the technician first subtracts 32 from both sides to get the equation $F - 32 = \frac{9}{5}C$. To finish isolating $C$, the technician must multiply both sides of the equation by the fraction ____.

An HVAC technician is analyzing the temperature conversion formula $F = \frac{9}{5}C + 32$ to reprogram a smart thermostat. To correctly begin isolating the Celsius temperature ($C$), the first mathematical step the technician must recall and apply is to multiply both sides of the equation by the fraction $\frac{5}{9}$.

As a new HVAC technician at a commercial property management company, you are updating the standard operating procedure (SOP) manual for calibrating environmental sensors. You need to document the exact algebraic steps taken to rearrange the standard temperature formula to solve for Celsius ($C$). Match each stage of the mathematical process to its correct resulting equation.

Documenting Temperature Conversion in Medical SOPs