What is 5733/64 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{5733}}{\textbf{64}}\space$ to a mixed number, follow these steps,

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

$5733\space÷\space64 = 89\space\space R \space\space37$

• Find the remainder of the division. The remainder is 37
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{37}{64}$
• Simplify the fraction: The fraction​ $\frac{37}{64}$ can not be simplified further as their greatest common divisor GCD(37, 64) is 1
• Result: The improper fraction $\frac{5733}{64}$​ as a mixed number is $89\frac{37}{64}$