What is 7783/34 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{7783}}{\textbf{34}}\space$ to a mixed number, follow these steps,

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

$7783\space÷\space34 = 228\space\space R \space\space31$

• Find the remainder of the division. The remainder is 31
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{31}{34}$
• Simplify the fraction: The fraction​ $\frac{31}{34}$ can not be simplified further as their greatest common divisor GCD(31, 34) is 1
• Result: The improper fraction $\frac{7783}{34}$​ as a mixed number is $228\frac{31}{34}$