Question

Select two ratios that are equivalent to 2:12

Answer 1

Equivalent ratios to 2:12 are found by multiplying both terms of the simplified ratio, 1:6, by the same factor. The ratios 3:18 and 4:24 are both equivalent to 2:12.

Step-by-step explanation:

Selecting two ratios that are equivalent to 2:12 involves finding other sets of numbers that have the same proportional relationship as 2:12. To simplify the given ratio, we can divide both terms of the ratio (2 and 12) by the greatest common divisor, which is 2. Now we obtain the simplified ratio of 1:6. From here, we can find equivalent ratios by multiplying both numbers by the same factor. For example, if we multiply both terms by 2, we get 2:12, which is the original ratio. If we multiply by 3, we get 3:18. And by multiplying by 4, we get 4:24. Both 3:18 and 4:24 are equivalent to the original ratio of 2:12.

Answer 2

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❖ Two ratios that are equivalent to 2:12 are 1:6 and 3:18.

2: 12 is simplified to 1:6.

3 x 1 = 3

3 x 6 = 18

2 x 1 =2

2 x 6 = 12

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