Evaluate the following expressions. Simplify all fractions.
`(3)/(1)xx(6)/(7)=`

Answer

To evaluate the expression \(\frac{3}{1} \times \frac{6}{7}\) and simplify it, we can follow these steps:

### Step 1: Identify the fractions
The expression consists of two fractions: \(\frac{3}{1}\) and \(\frac{6}{7}\).

### Step 2: Multiply the fractions
To multiply two fractions, we multiply the numerators together and the denominators together.

\[ \frac{3}{1} \times \frac{6}{7} = \frac{3 \times 6}{1 \times 7} \]

### Step 3: Calculate the numerator and denominator
Now, we calculate the numerator and the denominator:

- Numerator: \(3 \times 6 = 18\)
- Denominator: \(1 \times 7 = 7\)

So, we have:

\[ \frac{3 \times 6}{1 \times 7} = \frac{18}{7} \]

### Step 4: Simplify the fraction
Next, we check if the fraction \(\frac{18}{7}\) can be simplified.

The factors of 18 are \(1, 2, 3, 6, 9, 18\) and the factors of 7 are \(1, 7\). Since there are no common factors other than 1, we cannot simplify \(\frac{18}{7}\) further.

### Final Answer
Thus, the simplified form of the expression \(\frac{3}{1} \times \frac{6}{7}\) is:

\[ \frac{18}{7} \]

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