Questions: Divide 12 3/4 by 8 =

Solution Steps

To solve the problem of dividing 12 3/4 by 8, we need to first convert the mixed number (12 3/4) into an improper fraction. Then, we can perform the division by multiplying by the reciprocal of 8.

First, we convert the mixed number \(12 \frac{3}{4}\) to an improper fraction.

\[ 12 \frac{3}{4} = \frac{12 \times 4 + 3}{4} = \frac{48 + 3}{4} = \frac{51}{4} \]

Next, we divide \(\frac{51}{4}\) by 8. Dividing by 8 is equivalent to multiplying by \(\frac{1}{8}\).

\[ \frac{51}{4} \div 8 = \frac{51}{4} \times \frac{1}{8} = \frac{51}{32} \]

The fraction \(\frac{51}{32}\) is already in its simplest form.

Final Answer