What is 8016/27 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{8016}}{\textbf{27}}\space$ to a mixed number, follow these steps,

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

$8016\space÷\space27 = 296\space\space R \space\space24$

• Find the remainder of the division. The remainder is 24
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{24}{27}$
• Simplify the fraction: The fraction​ $\frac{24}{27}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

$\frac{24}{27} = \frac{24 ÷ 3}{27 ÷ 3} = \frac{8}{9}$

• Result: The improper fraction $\frac{8016}{27}$​ as a mixed number is $296\frac{8}{9}$