What is 6646/17 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{6646}}{\textbf{17}}\space$ to a mixed number, follow these steps,

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

$6646\space÷\space17 = 390\space\space R \space\space16$

• Find the remainder of the division. The remainder is 16
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{16}{17}$
• Simplify the fraction: The fraction​ $\frac{16}{17}$ can not be simplified further as their greatest common divisor GCD(16, 17) is 1
• Result: The improper fraction $\frac{6646}{17}$​ as a mixed number is $390\frac{16}{17}$