The ratios equivalent to 2:6 are: 9:3 and 7:21
The given ratio is
. To find equivalent ratios, you can multiply or divide both parts of the ratio by the same non-zero number. Let's analyze the options:
1. 10:7
To check if this is equivalent to 2:6, divide both parts by 2:
![\[(10)/(2) : (7)/(2) = 5: (7)/(2)\]](https://img.qammunity.org/2019/formulas/mathematics/middle-school/3kltm4k6r9aa11punyk3snts9x6mv9m7kx.png)
This is not equivalent.
2. 9:3
To check if this is equivalent to 2:6, divide both parts by 3:
![\[(9)/(3) : (3)/(3) = 3: 1\]](https://img.qammunity.org/2019/formulas/mathematics/middle-school/vx8qqav8525kjqulnjdsll924tidl9afw5.png)
This is equivalent.
3. 7:21
To check if this is equivalent to 2:6, divide both parts by 7:
![\[(7)/(7) : (21)/(7) = 1: 3\]](https://img.qammunity.org/2019/formulas/mathematics/middle-school/9zy5hlzguzwc7wt9fr51dw8usf29hbdwrn.png)
This is equivalent.
Therefore, the ratios equivalent to 2:6 are:
2:6
9:3
7:21