What is 6829/40 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{6829}}{\textbf{40}}\space$ to a mixed number, follow these steps,

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

$6829\space÷\space40 = 170\space\space R \space\space29$

• Find the remainder of the division. The remainder is 29
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{29}{40}$
• Simplify the fraction: The fraction​ $\frac{29}{40}$ can not be simplified further as their greatest common divisor GCD(29, 40) is 1
• Result: The improper fraction $\frac{6829}{40}$​ as a mixed number is $170\frac{29}{40}$