The problem asks to calculate the value of $6 \times \frac{7}{2}$ and express the result in its simplest form.

1. Problem Description

The problem asks to calculate the value of $6 \times \frac{7}{2}$ and express the result in its simplest form.

2. Solution Steps

We are asked to calculate $6 \times \frac{7}{2}$. We can rewrite this as a fraction multiplied by a whole number.

$6 \times \frac{7}{2} = \frac{6}{1} \times \frac{7}{2}$

Multiply the numerators and denominators:

$\frac{6 \times 7}{1 \times 2} = \frac{42}{2}$

Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 2:

$\frac{42}{2} = \frac{42 \div 2}{2 \div 2} = \frac{21}{1} = 21$

3. Final Answer

21