What is 2782/73 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{2782}}{\textbf{73}}\space$ to a mixed number, follow these steps,

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

$2782\space÷\space73 = 38\space\space R \space\space8$

• Find the remainder of the division. The remainder is 8
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{8}{73}$
• Simplify the fraction: The fraction​ $\frac{8}{73}$ can not be simplified further as their greatest common divisor GCD(8, 73) is 1
• Result: The improper fraction $\frac{2782}{73}$​ as a mixed number is $38\frac{8}{73}$