Evaluate: b. `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 number to an improper fraction
A mixed number consists of a whole number and a fraction. To convert \( 4 \frac{5}{7} \) into an improper fraction, we multiply the whole number (4) by the denominator (7) and then add the numerator (5).

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

### Step 2: Set up the multiplication
Now that we have converted the mixed number into an improper fraction, we can set up the multiplication with 3:

\[ \frac{33}{7} \times 3 \]

### Step 3: Convert the whole number to a fraction
To multiply a fraction by a whole number, we can express the whole number as a fraction. Thus, we can write 3 as \( \frac{3}{1} \):

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

### Step 4: Multiply the fractions
To multiply two fractions, we multiply the numerators together and the denominators together:

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

### Step 5: Final answer
The final answer is:

\[ \frac{99}{7} \]