What is the result of multiplying 2/5 by 4/6?

To find the result of multiplying the fractions ( \frac{2}{5} ) and ( \frac{4}{6} ), you multiply the numerators together and the denominators together.

First, multiply the numerators:

[

2 \times 4 = 8

]

Next, multiply the denominators:

[

5 \times 6 = 30

]

So, when you multiply the fractions, you get:

[

\frac{2}{5} \times \frac{4}{6} = \frac{8}{30}

]

The fraction ( \frac{8}{30} ) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. Doing this gives:

[

\frac{8 \div 2}{30 \div 2} = \frac{4}{15}

]

This shows that the multiplication is carried out correctly, and the result in simplified form is indeed ( \frac{4}{15} ). Therefore, the most accurate and complete answer is ( \frac{4}{15} ), which aligns with option B. The result ( \frac{8}{30