What is 1424/75 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{1424}}{\textbf{75}}\space$ to a mixed number, follow these steps,

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

$1424\space÷\space75 = 18\space\space R \space\space74$

• Find the remainder of the division. The remainder is 74
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{74}{75}$
• Simplify the fraction: The fraction​ $\frac{74}{75}$ can not be simplified further as their greatest common divisor GCD(74, 75) is 1
• Result: The improper fraction $\frac{1424}{75}$​ as a mixed number is $18\frac{74}{75}$