What is 2783/74 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{2783}}{\textbf{74}}\space$ to a mixed number, follow these steps,

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

$2783\space÷\space74 = 37\space\space R \space\space45$

• Find the remainder of the division. The remainder is 45
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{45}{74}$
• Simplify the fraction: The fraction​ $\frac{45}{74}$ can not be simplified further as their greatest common divisor GCD(45, 74) is 1
• Result: The improper fraction $\frac{2783}{74}$​ as a mixed number is $37\frac{45}{74}$