Multiply:
c. `5 (1)/(3) xx 2`

Answer

To solve the multiplication of \( 5 \frac{1}{3} \times 2 \), we will follow these steps:

### Step 1: Convert the mixed number to an improper fraction
A mixed number like \( 5 \frac{1}{3} \) can be converted to an improper fraction. To do this, multiply the whole number (5) by the denominator (3) and then add the numerator (1).

\[ 5 \frac{1}{3} = \frac{(5 \times 3) + 1}{3} = \frac{15 + 1}{3} = \frac{16}{3} \]

### Step 2: Write the multiplication expression
Now, we can rewrite the multiplication expression using the improper fraction we just calculated:

\[ \frac{16}{3} \times 2 \]

### Step 3: Convert the whole number to a fraction
The whole number 2 can be written as a fraction:

\[ 2 = \frac{2}{1} \]

### Step 4: Multiply the fractions
Now we can multiply the two fractions:

\[ \frac{16}{3} \times \frac{2}{1} = \frac{16 \times 2}{3 \times 1} = \frac{32}{3} \]

### Step 5: Convert the improper fraction back to a mixed number
To convert \( \frac{32}{3} \) back to a mixed number, divide the numerator (32) by the denominator (3):

\[ 32 \div 3 = 10 \quad \text{(whole number)} \]
\[ 32 - (3 \times 10) = 2 \quad \text{(remainder)} \]

So, \( \frac{32}{3} \) can be expressed as:

\[ 10 \frac{2}{3} \]

### Final Answer
Thus, the final answer is:

\[ 10 \frac{2}{3} \]

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