Question

Write two ratios that are equvilent to 3:11

Answer 1

6:22, 9:33

Explanation:

When writing equivalent ratios, you use two of the numbers from the original ratio and multiply them evenly to get an equivalent ratio.

`\mathrm{p:q~or~(p)/(q) = (x(p))/(x(q))}\\\mathrm{(6 * 2)/(11 * 2) = 6:22}\\\mathrm{(6 * 3)/(11 * 3) = 9:33}`

Answer 2

6:22 and 9:33

Explanation:

Answer: 6:22 and 9:33

Think of the ratio like a fraction, one way to find an equivalent ratio is to simplify the current ratio. But in this case, we are unable because we can divide 3 by 3 to get one, but not 11 by 3.

3 divided by 3 = 1

11 divided by 3 = does not evenly divide

Another way is to multiply both numbers by the same number.

3 times 2 = 6

11 times 2 = 22

And we can just keep doing the same with different numbers.

3 times 3 = 9

11 times 3 = 33