Evaluate: d. `(14)/( 25) xx (20)/( 49)`

Answer

To evaluate the expression \(\frac{14}{25} \times \frac{20}{49}\), we can follow these steps:

### Step 1: Write the fractions
We start with the given expression:
\[ \frac{14}{25} \times \frac{20}{49} \]

### Step 2: Factor the numerators and denominators
Next, we can factor the numbers in the numerators and denominators:
- \(14 = 2 \times 7\)
- \(25 = 5 \times 5\)
- \(20 = 4 \times 5\)
- \(49 = 7 \times 7\)

So, we rewrite the expression using these factors:
\[ \frac{2 \times 7}{5 \times 5} \times \frac{4 \times 5}{7 \times 7} \]

### Step 3: Combine the fractions
Now, we can combine the fractions:
\[ \frac{(2 \times 7) \times (4 \times 5)}{(5 \times 5) \times (7 \times 7)} \]

### Step 4: Cancel common factors
We can cancel the common factors in the numerator and the denominator:
- The \(7\) in the numerator cancels with one \(7\) in the denominator.
- The \(5\) in the numerator cancels with one \(5\) in the denominator.

After canceling, we have:
\[ \frac{2 \times 4}{5 \times 7} \]

### Step 5: Multiply the remaining factors
Now we multiply the remaining factors:
- The numerator: \(2 \times 4 = 8\)
- The denominator: \(5 \times 7 = 35\)

So, we have:
\[ \frac{8}{35} \]

### Final Answer
Thus, the final product is:
\[ \frac{8}{35} \]

---