To find ratios equivalent to 30:35, simplify the original ratio to 6:7, and then multiply both terms of the ratio by the same number to find other equivalent ratios, recording each in a table.
The goal is to find ratios equivalent to 30:35. First, record the given ratio in the first row of the table. Simplify the ratio by finding the greatest common divisor of 30 and 35, which is 5. So, the simplified form of 30:35 is 6:7. We can then create a table of equivalent ratios by multiplying or dividing both terms of the ratio by the same number. Remember, when finding equivalent ratios, maintain the proportion between the two numbers.
Here's an example of how to complete the table:
Start with the ratio 30:35 in the first row.
Divide both terms of the ratio by 5 to get the simplified form, 6:7.
Select another number to multiply both terms of the ratio by, such as 2, to get 12:14.
Repeat this process with other numbers (3, 4, etc.) to find more equivalent ratios.
To fill in the rest of the table, continue using different multipliers until the table is complete.
Equivalent Ratios
6:7
12:14
18:21
24:28