Which of the following is equivalent to the value of 2/7 x 4/3?

To determine which choice is equivalent to the value of ( \frac{2}{7} \times \frac{4}{3} ), we need to multiply the two fractions. When multiplying fractions, you multiply the numerators together and the denominators together:

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\frac{2}{7} \times \frac{4}{3} = \frac{2 \times 4}{7 \times 3} = \frac{8}{21}.

]

This calculation shows that the numerator is ( 2 \times 4 = 8 ) and the denominator is ( 7 \times 3 = 21 ). The simplification of the fractions confirms that ( \frac{8}{21} ) is indeed a valid result.

Thus, the equivalent value of ( \frac{2}{7} \times \frac{4}{3} ) is ( \frac{8}{21} ), making this the correct choice.