Question - Multiplication of Mixed Fraction and a Measurement

Convert the mixed number \(9 \frac{7}{6}\) to an improper fraction:

\(9 \frac{7}{6} = \frac{9 \times 6 + 7}{6} = \frac{54 + 7}{6} = \frac{61}{6}\)

Now multiply with \(32 \, \text{kg}\):

\(\frac{61}{6} \times 32 = \frac{61 \times 32}{6}\)

Calculate \(61 \times 32 = 1952\), so:

\(\frac{1952}{6}\)

Now simplify:

Divide \(1952\) by \(6\): \(1952 \div 6 = 325.3333\) (approximately)

The final answer in kg is \(325.33 \, \text{kg}\) (rounded to two decimal places).