What is the result of multiplying 3/7 by 2/3?

To find the result of multiplying the fractions 3/7 and 2/3, you multiply the numerators together and the denominators together.

First, take the numerators: 3 (from 3/7) and 2 (from 2/3). When multiplied, 3 × 2 equals 6.

Next, take the denominators: 7 (from 3/7) and 3 (from 2/3). When multiplied, 7 × 3 equals 21.

So, when you combine the two results, you get 6 for the numerator and 21 for the denominator, leading to the fraction 6/21.

It's important to note that this result can be simplified since both the numerator and the denominator can be divided by 3, leading to the equivalent fraction of 2/7. Nevertheless, the question specifically highlights the result of the multiplication process before simplification, which is why 6/21 is the correct answer.