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

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

• A. 6/21
• B. 8/21
• C. 3/21
• D. 5/21

Answer: (B)

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

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:

[

\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.