What is 7493/64 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{7493}}{\textbf{64}}\space$ to a mixed number, follow these steps,

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

$7493\space÷\space64 = 117\space\space R \space\space5$

• Find the remainder of the division. The remainder is 5
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{5}{64}$
• Simplify the fraction: The fraction​ $\frac{5}{64}$ can not be simplified further as their greatest common divisor GCD(5, 64) is 1
• Result: The improper fraction $\frac{7493}{64}$​ as a mixed number is $117\frac{5}{64}$