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Question - Multiplication of Fractions and Weight

First, express the mixed number as an improper fraction:

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

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

\(\frac{61}{6} \times 32 = \frac{61 \times 32}{6} = \frac{1952}{6} = 325.33 \, \text{kg}\)

The final result is approximately \(325.33 \, \text{kg}\).

First, let's interpret the expression you've provided. The equation is:

\[ \frac{9 \frac{7}{6}}{1} \times 32 \text{ kg} \]

We need to perform the multiplication. The first step is to deal with the fraction.

Step 1: Calculate the fraction \(\frac{7}{6}\). This is already in its simplest form, but let's convert it to a decimal for easier multiplication:

\[ \frac{7}{6} \approx 1.1667 \]

Step 2: Now, multiply this decimal by 9.

\[ 9 \times 1.1667 \approx 10.5 \]

So, we can simplify our expression now to:

\[ 10.5 \times 32 \text{ kg} \]

Step 3: Now, let's multiply \(10.5\) by \(32\):

\[ 10.5 \times 32 = 336 \]

Step 4: Finally, since the original expression involved kilograms, we include the unit in our final answer:

\[ \text{Final Answer} = 336 \text{ kg} \]

This concludes the calculation. We've successfully multiplied the given expressions step by step, explaining each phase of the process.

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