Final answer:
To multiply and simplify the fractions 3/4 and 3/5, multiply the numerators to get 9 and the denominators to get 20. The resulting fraction is 9/20, which is in its simplest form as there are no common factors between 9 and 20.
Step-by-step explanation:
You can follow a simple process to multiply and simplify the fractions 3/4 and 3/5. First, multiply the two fractions' numerators (the top numbers). Next, multiply the denominators (the bottom numbers). You do not need to set up a proportion because you are directly multiplying the two fractions.
Here is the step-by-step calculation:
- Multiply the numerators: 3 x 3 = 9
- Multiply the denominators: 4 x 5 = 20
- So, the resulting fraction is 9/20. Since 9 and 20 have no common factors other than 1, the fraction is already in simplest form.
Thus, the product of 3/4 and 3/5 is 9/20, the simplified answer.