Final answer:
To multiply 1/3 and 4/5, multiply the numerators to get 4 and the denominators to get 15, resulting in the fraction 4/15. This fraction is already in its simplest form as 4 and 15 have no common factors.
Step-by-step explanation:
To multiply the fractions 1/3 and 4/5, you simply multiply the numerators (top numbers) together and multiply the denominators (bottom numbers) together. Multiplying the numerators 1 and 4, we get 4. Multiplying the denominators 3 and 5, we get 15. After performing these operations, we find that the product of 1/3 and 4/5 is 4/15.
In multiplication of fractions, unlike addition or subtraction, there is no need to find a common denominator. You are using the product rule of multiplication, which is straightforward. If there are common factors in the numerator and denominator, the fraction can be simplified. However, in this case, 4/15 is already in its simplest form, as 4 and 15 share no common factors.