Evaluate the following expressions. Simplify all fractions.
`(5)/(14)xx(7)/(20)=`

Answer

To evaluate the expression \(\frac{5}{14} \times \frac{7}{20}\), we will follow these steps:

### Step 1: Write the expression
We start with the given expression:
\[ \frac{5}{14} \times \frac{7}{20} \]

### Step 2: Multiply the fractions
When multiplying fractions, we multiply the numerators together and the denominators together:
\[ \frac{5 \times 7}{14 \times 20} \]

### Step 3: Calculate the numerator and denominator
Now, we calculate the products:
- Numerator: \(5 \times 7 = 35\)
- Denominator: \(14 \times 20 = 280\)

So, we have:
\[ \frac{35}{280} \]

### Step 4: Simplify the fraction
Next, we simplify \(\frac{35}{280}\). We can find the greatest common divisor (GCD) of 35 and 280. The GCD is 35.

Now, we divide both the numerator and the denominator by 35:
\[ \frac{35 \div 35}{280 \div 35} = \frac{1}{8} \]

### Final Answer
Thus, the simplified value of \(\frac{5}{14} \times \frac{7}{20}\) is:
\[ \frac{1}{8} \]

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