Final answer:
Equivalent ratios to 30:55 can be found by simplifying the original ratio to 6:11 and then multiplying both terms of this simplified ratio by the same non-zero integer to get more equivalent ratios.
Step-by-step explanation:
The ratios equivalent to 30:55 can be found by simplifying the original ratio or by multiplying both terms of the ratio by a common factor. To simplify a ratio, you divide both sides by the greatest common divisor (GCD). For 30:55, the GCD is 5. Therefore, the simplified ratio is 6:11. If you want to find more equivalent ratios, you can multiply both numbers in the simplified ratio (6 and 11) by the same non-zero integer. For example, multiplying by 2 gives you 12:22, multiplying by 3 gives you 18:33, and so on.