What is 364/8 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{364}}{\textbf{8}}\space$ to a mixed number, follow these steps,

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

$364\space÷\space8 = 45\space\space R \space\space4$

• Find the remainder of the division. The remainder is 4
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{4}{8}$
• Simplify the fraction: The fraction​ $\frac{4}{8}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4:

$\frac{4}{8} = \frac{4 ÷ 4}{8 ÷ 4} = \frac{1}{2}$

• Result: The improper fraction $\frac{364}{8}$​ as a mixed number is $45\frac{1}{2}$