What is 1146/37 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{1146}}{\textbf{37}}\space$ to a mixed number, follow these steps,

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

$1146\space÷\space37 = 30\space\space R \space\space36$

• Find the remainder of the division. The remainder is 36
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{36}{37}$
• Simplify the fraction: The fraction​ $\frac{36}{37}$ can not be simplified further as their greatest common divisor GCD(36, 37) is 1
• Result: The improper fraction $\frac{1146}{37}$​ as a mixed number is $30\frac{36}{37}$