What is 6582/33 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{6582}}{\textbf{33}}\space$ to a mixed number, follow these steps,

• Divide the numerator by the denominator: to find the whole number part

$6582\space÷\space33 = 199\space\space R \space\space15$

• Find the remainder of the division. The remainder is 15
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{15}{33}$
• Simplify the fraction: The fraction​ $\frac{15}{33}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

$\frac{15}{33} = \frac{15 ÷ 3}{33 ÷ 3} = \frac{5}{11}$

• Result: The improper fraction $\frac{6582}{33}$​ as a mixed number is $199\frac{5}{11}$