Multiply the fractions, ^{1}/_{2} and ^{3}/_{9}. Give the answer in the simplest form.

Let's write down these fractions:

Before we multiply, notice that the fraction, ^{3}/_{9} can be simplified by dividing it's numerator and denominator with the common factor, 3.

First, we multiply the numerators (1 x 1). Next, multiply the denominators (2 x 3).

Since there is no more common factor. We can continue with the multiplication.

Here, we have the resulting fraction as ^{1}/_{6}. Clearly, the answer is D.

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