What is 2547/78 as a mixed number?

To convert the improper fraction $\space\frac{\textbf{2547}}{\textbf{78}}\space$ to a mixed number, follow these steps,

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

$2547\space÷\space78 = 32\space\space R \space\space51$

• Find the remainder of the division. The remainder is 51
• Form the fraction: Place the remainder over the original denominator to get the fractional part: $\frac{51}{78}$
• Simplify the fraction: The fraction​ $\frac{51}{78}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

$\frac{51}{78} = \frac{51 ÷ 3}{78 ÷ 3} = \frac{17}{26}$

• Result: The improper fraction $\frac{2547}{78}$​ as a mixed number is $32\frac{17}{26}$