What is 7743/74 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{7743}}{\textbf{74}}\space$ to a mixed number, follow these steps,

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

$7743\space÷\space74 = 104\space\space R \space\space47$

• Find the remainder of the division. The remainder is 47
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{47}{74}$
• Simplify the fraction: The fraction​ $\frac{47}{74}$ can not be simplified further as their greatest common divisor GCD(47, 74) is 1
• Result: The improper fraction $\frac{7743}{74}$​ as a mixed number is $104\frac{47}{74}$