What is 7784/35 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{7784}}{\textbf{35}}\space$ to a mixed number, follow these steps,

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

$7784\space÷\space35 = 222\space\space R \space\space14$

• Find the remainder of the division. The remainder is 14
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{14}{35}$
• Simplify the fraction: The fraction​ $\frac{14}{35}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 7:

$\frac{14}{35} = \frac{14 ÷ 7}{35 ÷ 7} = \frac{2}{5}$

• Result: The improper fraction $\frac{7784}{35}$​ as a mixed number is $222\frac{2}{5}$