What is the result of multiplying 4/5 by 2/8?

To find the result of multiplying two fractions, you multiply the numerators together and the denominators together.

For the fractions ( \frac{4}{5} ) and ( \frac{2}{8} ), you start by multiplying the numerators: ( 4 \times 2 = 8 ). Next, you multiply the denominators: ( 5 \times 8 = 40 ). This gives you the new fraction ( \frac{8}{40} ).

Next, you simplify ( \frac{8}{40} ). Both 8 and 40 can be divided by 8. When you divide the numerator and the denominator by 8, you get ( \frac{1}{5} ).

Thus, the correct answer is ( \frac{1}{5} ). This process of multiplying fractions and then simplifying is essential for carrying out operations with rational numbers in pharmacy calculations and ensures accurate dosing and formulation of medications.