What is 1627/38 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{1627}}{\textbf{38}}\space$ to a mixed number, follow these steps,

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

$1627\space÷\space38 = 42\space\space R \space\space31$

• 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: $\frac{31}{38}$
• Simplify the fraction: The fraction​ $\frac{31}{38}$ can not be simplified further as their greatest common divisor GCD(31, 38) is 1
• Result: The improper fraction $\frac{1627}{38}$​ as a mixed number is $42\frac{31}{38}$