Convert start fraction, 53, divided by, 6, end fraction

6
53

into a mixed number.

1 answer

To convert the improper fraction \(\frac{53}{6}\) into a mixed number, follow these steps:

  1. Divide the numerator (53) by the denominator (6): \[ 53 \div 6 = 8 \quad \text{(whole number)} \] The integer part of the division is 8.

  2. Find the remainder of the division: \[ 53 - (6 \times 8) = 53 - 48 = 5 \] The remainder is 5.

  3. Now, combine the whole number and the remainder over the original denominator: \[ 8 \frac{5}{6} \]

Thus, \(\frac{53}{6}\) can be expressed as the mixed number \(8 \frac{5}{6}\).