Multiply:
e. `(9)/(16) xx (48)/(63)`

Answer

To solve the multiplication of the fractions \(\frac{9}{16} \times \frac{48}{63}\), we will follow these steps:

### Step 1: Write the multiplication of the fractions
We start with the fractions:
\[ \frac{9}{16} \times \frac{48}{63} \]

### Step 2: Multiply the numerators and the denominators
We can multiply the numerators together and the denominators together:
\[ \frac{9 \times 48}{16 \times 63} \]

### Step 3: Simplify before multiplying (if possible)
Before multiplying, we can simplify the fractions by canceling out common factors.

- The number \(48\) can be broken down into \(16 \times 3\). Thus, we can cancel \(16\) in the denominator with \(48\) in the numerator:
\[ \frac{9 \times (16 \times 3)}{16 \times 63} \rightarrow \frac{9 \times 3}{63} \]

- Now, we can also simplify \(9\) and \(63\). The number \(63\) can be broken down into \(9 \times 7\). Thus, we can cancel \(9\) in the numerator with \(63\) in the denominator:
\[ \frac{(9 \div 9) \times 3}{(63 \div 9)} = \frac{1 \times 3}{7} = \frac{3}{7} \]

### Step 4: Write the final answer
The final answer after simplifying is:
\[ \frac{3}{7} \]