What is 6412/23 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{6412}}{\textbf{23}}\space$ to a mixed number, follow these steps,

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

$6412\space÷\space23 = 278\space\space R \space\space18$

• Find the remainder of the division. The remainder is 18
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{18}{23}$
• Simplify the fraction: The fraction​ $\frac{18}{23}$ can not be simplified further as their greatest common divisor GCD(18, 23) is 1
• Result: The improper fraction $\frac{6412}{23}$​ as a mixed number is $278\frac{18}{23}$