What is 2538/69 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{2538}}{\textbf{69}}\space$ to a mixed number, follow these steps,

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

$2538\space÷\space69 = 36\space\space R \space\space54$

• Find the remainder of the division. The remainder is 54
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{54}{69}$
• Simplify the fraction: The fraction​ $\frac{54}{69}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

$\frac{54}{69} = \frac{54 ÷ 3}{69 ÷ 3} = \frac{18}{23}$

• Result: The improper fraction $\frac{2538}{69}$​ as a mixed number is $36\frac{18}{23}$