What is 3564/55 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{3564}}{\textbf{55}}\space$ to a mixed number, follow these steps,

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

$3564\space÷\space55 = 64\space\space R \space\space44$

• Find the remainder of the division. The remainder is 44
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{44}{55}$
• Simplify the fraction: The fraction​ $\frac{44}{55}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 11:

$\frac{44}{55} = \frac{44 ÷ 11}{55 ÷ 11} = \frac{4}{5}$

• Result: The improper fraction $\frac{3564}{55}$​ as a mixed number is $64\frac{4}{5}$