so on one of my 6th grade practice test for the big test tomorrow and it said " which of the ratios below are equivalent to 10:12 circle all that may apply" and i was wondering how i find the equivalents

well, the lowest is 5 : 6 , using whole numbers.

That one should appear.
Any others should be multiples of that, e.g. 25 : 30

10:12 = 2*5 : 2*6 = 5:6

so, any ratio where 5/6 is multiplied by the same amount both on top and on bottom, will be equivalent

To find the equivalent ratios for 10:12, you need to simplify the ratio by finding the greatest common divisor (GCD) of the two numbers, 10 and 12. The GCD of 10 and 12 is 2.

To simplify the ratio, divide both numbers by the GCD:

10 ÷ 2 = 5
12 ÷ 2 = 6

So, the simplified ratio is 5:6.

To find other equivalent ratios, multiply both numbers of the simplified ratio by the same factor:

5 × 2 = 10
6 × 2 = 12

Therefore, the equivalent ratios to 10:12 are 5:6, 10:12, and 10:12.

To find the equivalent ratios for 10:12, we need to consider two ratios that represent the same relationship or proportion. Here's how you can find the equivalent ratios:

Step 1: Simplify the given ratio.
To simplify, find the greatest common divisor (GCD) of both numbers. In this case, the GCD of 10 and 12 is 2.

So, divide both 10 and 12 by 2:
10 ÷ 2 = 5
12 ÷ 2 = 6

The simplified form of the ratio 10:12 is 5:6.

Step 2: Multiply or divide both parts of the ratio by the same number.
To find equivalent ratios, you can multiply or divide both parts of the simplified ratio by the same number. Remember, when you perform this operation, the proportion between the two numbers remains the same.

For example, if we multiply both parts by 2:
5 × 2 = 10
6 × 2 = 12

Now, we have another equivalent ratio: 10:12

Similarly, you can calculate additional equivalent ratios by multiplying or dividing both parts by other numbers. For instance, if we divide both parts by 2:
5 ÷ 2 = 2.5
6 ÷ 2 = 3

This gives us another equivalent ratio: 2.5:3.

To answer the question, look for all the ratios among the options that are either 5:6, 10:12, or 2.5:3. Circle all the ratios that may apply according to the test's instructions.