Multiply:
f. `6 (2)/(5) xx (15)/(64)`

Answer

To solve the multiplication of the mixed number \( 6 \frac{2}{5} \) and the fraction \( \frac{15}{64} \), we can follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The mixed number \( 6 \frac{2}{5} \) can be converted to an improper fraction. To do this, we multiply the whole number (6) by the denominator (5) and then add the numerator (2).

\[ 6 \frac{2}{5} = \frac{(6 \times 5) + 2}{5} = \frac{30 + 2}{5} = \frac{32}{5} \]

### Step 2: Write the multiplication of the fractions
Now we can write the multiplication of the improper fraction \( \frac{32}{5} \) and the fraction \( \frac{15}{64} \):

\[ \frac{32}{5} \times \frac{15}{64} \]

### Step 3: Multiply the numerators and denominators
Next, we multiply the numerators together and the denominators together:

\[ \frac{32 \times 15}{5 \times 64} \]

Calculating the numerator:

\[ 32 \times 15 = 480 \]

Calculating the denominator:

\[ 5 \times 64 = 320 \]

So we have:

\[ \frac{480}{320} \]

### Step 4: Simplify the fraction
Now we simplify \( \frac{480}{320} \). We can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 160:

\[ \frac{480 \div 160}{320 \div 160} = \frac{3}{2} \]

### Step 5: Convert to a mixed number (if needed)
The fraction \( \frac{3}{2} \) can also be expressed as a mixed number:

\[ \frac{3}{2} = 1 \frac{1}{2} \]

### Final Answer
The final answer is:

\[ \frac{3}{2} \text{ or } 1 \frac{1}{2} \]

---