What is the simplified result of the equation 7/8×2/5?

To find the simplified result of the equation ( \frac{7}{8} \times \frac{2}{5} ), you multiply the numerators together and the denominators together.

Multiplying the numerators:

7 (from the first fraction) times 2 (from the second fraction) gives you 14.

Then, multiplying the denominators:

8 (from the first fraction) times 5 (from the second fraction) gives you 40.

This results in ( \frac{14}{40} ).

Next, to simplify ( \frac{14}{40} ), you look for the greatest common divisor of 14 and 40, which is 2. Dividing both the numerator and the denominator by 2, you simplify ( \frac{14}{40} ) to ( \frac{7}{20} ).

Thus, the correct answer is ( \frac{7}{20} ), as it is the simplest form of the product ( \frac{7}{8} \times \frac{2}{5} ). This understanding of multiplying fractions and simplifying them is fundamental in mathematics.