What is 7480/51 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{7480}}{\textbf{51}}\space$ to a mixed number, follow these steps,

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

$7480\space÷\space51 = 146\space\space R \space\space34$

• Find the remainder of the division. The remainder is 34
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{34}{51}$
• Simplify the fraction: The fraction​ $\frac{34}{51}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 17:

$\frac{34}{51} = \frac{34 ÷ 17}{51 ÷ 17} = \frac{2}{3}$

• Result: The improper fraction $\frac{7480}{51}$​ as a mixed number is $146\frac{2}{3}$