What is 2544/75 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{2544}}{\textbf{75}}\space$ to a mixed number, follow these steps,

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

$2544\space÷\space75 = 33\space\space R \space\space69$

• Find the remainder of the division. The remainder is 69
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{69}{75}$
• Simplify the fraction: The fraction​ $\frac{69}{75}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

$\frac{69}{75} = \frac{69 ÷ 3}{75 ÷ 3} = \frac{23}{25}$

• Result: The improper fraction $\frac{2544}{75}$​ as a mixed number is $33\frac{23}{25}$