What is 1/4 x 2/3?

To find the product of two fractions, you multiply the numerators together and the denominators together. In this case, we multiply 1/4 and 2/3 as follows:

1. The numerator is calculated by multiplying the numerators of the two fractions: 1 (from the first fraction) multiplied by 2 (from the second fraction) equals 2.
2. The denominator is calculated by multiplying the denominators of the two fractions: 4 (from the first fraction) multiplied by 3 (from the second fraction) equals 12.

Thus, the product of the two fractions is 2/12. This fraction can be simplified by finding the greatest common divisor, which is 2. Dividing both the numerator and the denominator by 2 results in:

[ \frac{2 \div 2}{12 \div 2} = \frac{1}{6}.]

Therefore, the correct answer to the multiplication of 1/4 and 2/3 is indeed 1/6, which matches the choice you provided.