Final answer:
To find ratios equivalent to 35:45, you can simplify the original ratio to 7:9 or scale it by multiplying both terms by the same number, e.g., 14:18, 21:27, and 28:36 are all equivalent to 35:45.
Step-by-step explanation:
To find ratios equivalent to 35:45, we can simplify the original ratio or scale it by multiplying both terms by the same number.
Simplifying 35:45 by dividing both numbers by their greatest common divisor, 5, we get 7:9.
Now, to generate more equivalent ratios, we can multiply these terms, for example, by 2, 3, or any other positive integer.
- Multiplying by 2: 14:18
- Multiplying by 3: 21:27
- Multiplying by 4: 28:36
Each of these ratios is equivalent to the original ratio of 35:45, showing the proportion between two quantities remains the same.