Evaluate :
`(625)/(11)xx(14)/(25)xx(11)/(196)`

Answer

To evaluate the expression \((625)/(11) \times (14)/(25) \times (11)/(196)\), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ \frac{625}{11} \times \frac{14}{25} \times \frac{11}{196} \]

### Step 2: Combine the fractions
We can combine the fractions into a single fraction:
\[ \frac{625 \times 14 \times 11}{11 \times 25 \times 196} \]

### Step 3: Cancel common factors
Notice that \(11\) in the numerator and denominator can be cancelled:
\[ \frac{625 \times 14}{25 \times 196} \]

### Step 4: Simplify \(625\) and \(25\)
Next, we can simplify \(625\) and \(25\):
\[ 625 = 25 \times 25 \]
So, we can rewrite \(625\) as:
\[ \frac{25 \times 25 \times 14}{25 \times 196} \]
Now, we can cancel \(25\) from the numerator and denominator:
\[ \frac{25 \times 14}{196} \]

### Step 5: Simplify \(14\) and \(196\)
Now, we can simplify \(14\) and \(196\):
\[ 196 = 14 \times 14 \]
Thus, we can rewrite the expression as:
\[ \frac{25 \times 14}{14 \times 14} \]
Now, we can cancel \(14\) from the numerator and denominator:
\[ \frac{25}{14} \]

### Final Answer
The final simplified value of the expression is:
\[ \frac{25}{14} \]