What is 3984/75 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{3984}}{\textbf{75}}\space$ to a mixed number, follow these steps,

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

$3984\space÷\space75 = 53\space\space R \space\space9$

• Find the remainder of the division. The remainder is 9
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{9}{75}$
• Simplify the fraction: The fraction​ $\frac{9}{75}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

$\frac{9}{75} = \frac{9 ÷ 3}{75 ÷ 3} = \frac{3}{25}$

• Result: The improper fraction $\frac{3984}{75}$​ as a mixed number is $53\frac{3}{25}$