all ratios equivalent to 5:15.

Sure, to find all ratios equivalent to 5:15, you need to simplify the given ratio first.

Step 1: Simplify the given ratio The ratio 5:15 can be simplified by dividing both numbers by their greatest common divisor, which is 5. So, 5 ÷ 5 = 1 and 15 ÷ 5 = 3. Therefore, the simplified ratio is 1:3.

Step 2: Find equivalent ratios Now, to find equivalent ratios, you can multiply or divide both terms of the simplified ratio (1:3) by the same number.

For example:

• If you multiply by 2, you get 2:6.
• If you multiply by 3, you get 3:9.
• If you multiply by 4, you get 4:12.
• If you multiply by 5, you get 5:15 (which is the original ratio).

And so on. You can continue this process to find more equivalent ratios.

Remember, you can also divide both terms by the same number (other than zero) to find more equivalent ratios. For example, if you divide 1:3 by 1/2, you get 2:6, which is also equivalent.

So, all ratios that can be simplified to 1:3 are equivalent to 5:15.