What is 4656/27 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{4656}}{\textbf{27}}\space$ to a mixed number, follow these steps,

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

$4656\space÷\space27 = 172\space\space R \space\space12$

• Find the remainder of the division. The remainder is 12
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{12}{27}$
• Simplify the fraction: The fraction​ $\frac{12}{27}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

$\frac{12}{27} = \frac{12 ÷ 3}{27 ÷ 3} = \frac{4}{9}$

• Result: The improper fraction $\frac{4656}{27}$​ as a mixed number is $172\frac{4}{9}$