Ashoka the Meditator

Lately, Ashoka has been trying to meditate but the temperature at the temple is sometimes too hot or too cold. He just cannot concentrate. Fortunately, he has a temperature regulator but it takes the temperature only in Fahrenheit. Ashoka wants the temperature to be $\frac{p}{q}$°C. Find out the exact temperature $\frac{a}{b}$°F that he needs to input into the regulator. $a$ and $b$ should be such