Question

convert 33°f to celsius.
33°f = ? °c

Explanation:

Step1: Recall the formula for converting Fahrenheit to Celsius.

The formula to convert Fahrenheit (\(^{\circ}\text{F}\)) to Celsius (\(^{\circ}\text{C}\)) is \(^{\circ}\text{C}=\frac{5}{9}(^{\circ}\text{F} - 32)\).

Step2: Substitute the given Fahrenheit value into the formula.

We are given \(^{\circ}\text{F} = 33\). Substitute this into the formula:
\(^{\circ}\text{C}=\frac{5}{9}(33 - 32)\)

Step3: Simplify the expression inside the parentheses first.

\(33-32 = 1\), so the expression becomes \(^{\circ}\text{C}=\frac{5}{9}(1)\)

Step4: Multiply \(\frac{5}{9}\) by 1.

\(\frac{5}{9}\times1=\frac{5}{9}\approx0.56\) (rounded to two decimal places)

Answer:

\(33^{\circ}\text{F}\approx0.56^{\circ}\text{C}\) (or \(\frac{5}{9}^{\circ}\text{C}\) if we want the exact fraction)