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 $\frac{5}{9}$.