To find the value of \( ? \) in the equation \( 6 \frac{2}{3} = \frac{20}{?} \), we can first convert \( 6 \frac{2}{3} \) into an improper fraction.
- Convert \( 6 \frac{2}{3} \): \[ 6 \frac{2}{3} = \frac{6 \times 3 + 2}{3} = \frac{18 + 2}{3} = \frac{20}{3} \]
So now, we have: \[ \frac{20}{3} = \frac{20}{?} \]
Since both fractions have the same numerator, we can set their denominators equal to each other: \[ 3 = ? \]
Therefore, the value of \( ? \) is \( 3 \).