What is 8274/45 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{8274}}{\textbf{45}}\space$ to a mixed number, follow these steps,

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

$8274\space÷\space45 = 183\space\space R \space\space39$

• Find the remainder of the division. The remainder is 39
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{39}{45}$
• Simplify the fraction: The fraction​ $\frac{39}{45}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

$\frac{39}{45} = \frac{39 ÷ 3}{45 ÷ 3} = \frac{13}{15}$

• Result: The improper fraction $\frac{8274}{45}$​ as a mixed number is $183\frac{13}{15}$