Step 1: Convert the mixed number to an improper fraction.
In this case, the mixed number is 6 2/7. To convert it to an improper fraction, multiply the whole number (6) by the denominator of the fraction (7) and add the numerator (2). Then, place the result over the original denominator.
6 * 7 = 42
42 + 2 = 44
The improper fraction equivalent of 6 2/7 is 44/7.
Step 2: Multiply the two fractions.
Multiply the two fractions together by multiplying the numerators and denominators.
6 2/7 * 44/7 = (6 * 44) / (2 * 7)
Step 3: Simplify the resulting fraction, if possible.
Evaluate the multiplication and simplify the resulting fraction if there are common factors in the numerator and denominator.
(6 * 44) = 264
(2 * 7) = 14
264/14 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4.
264 ÷ 4 = 66
14 ÷ 4 = 7
The simplified fraction is 66/7.
Therefore, the product of 6 2/7 is 66/7.