Evaluate: c. `4 (5)/(7) xx 3`

Answer

To evaluate the expression \( 4 \frac{5}{7} \times 3 \), we will follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction
A mixed fraction consists of a whole number and a proper fraction. To convert \( 4 \frac{5}{7} \) into an improper fraction, we multiply the whole number (4) by the denominator (7) and add the numerator (5).

\[ 4 \frac{5}{7} = \frac{(4 \times 7) + 5}{7} = \frac{28 + 5}{7} = \frac{33}{7} \]

### Step 2: Multiply the improper fraction by 3
Now we need to multiply the improper fraction \( \frac{33}{7} \) by 3. We can write 3 as a fraction, \( \frac{3}{1} \).

\[ \frac{33}{7} \times 3 = \frac{33}{7} \times \frac{3}{1} = \frac{33 \times 3}{7 \times 1} = \frac{99}{7} \]

### Step 3: Convert the improper fraction back to a mixed number
To convert \( \frac{99}{7} \) back to a mixed number, we divide 99 by 7.

\[ 99 \div 7 = 14 \quad \text{(since } 7 \times 14 = 98\text{)} \]
The remainder is \( 99 - 98 = 1 \).

So, we can express \( \frac{99}{7} \) as:
\[ 14 \frac{1}{7} \]

### Final Answer
The evaluated expression \( 4 \frac{5}{7} \times 3 \) is:
\[ 14 \frac{1}{7} \]

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