What is 7635/46 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{7635}}{\textbf{46}}\space$ to a mixed number, follow these steps,

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

$7635\space÷\space46 = 165\space\space R \space\space45$

• Find the remainder of the division. The remainder is 45
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{45}{46}$
• Simplify the fraction: The fraction​ $\frac{45}{46}$ can not be simplified further as their greatest common divisor GCD(45, 46) is 1
• Result: The improper fraction $\frac{7635}{46}$​ as a mixed number is $165\frac{45}{46}$