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The problem asks to select all ratios equivalent to 10:18. The given ratios are 20:36, 8:54, and 15:27.

ArithmeticRatiosProportionsSimplificationGreatest Common Divisor
2025/4/18

1. Problem Description

The problem asks to select all ratios equivalent to 10:
1

8. The given ratios are 20:36, 8:54, and 15:

2
7.

2. Solution Steps

First, simplify the ratio 10:18 by dividing both sides by their greatest common divisor, which is

2. $10:18 = (10/2):(18/2) = 5:9$.

Now, let's check each of the given ratios:
* 20:
3

6. Simplify by dividing both sides by their greatest common divisor, which is

4. $20:36 = (20/4):(36/4) = 5:9$.

So, 20:36 is equivalent to 10:
1
8.
* 8:
5

4. Simplify by dividing both sides by their greatest common divisor, which is

2. $8:54 = (8/2):(54/2) = 4:27$.

This is not equivalent to 5:
9.
* 15:
2

7. Simplify by dividing both sides by their greatest common divisor, which is

3. $15:27 = (15/3):(27/3) = 5:9$.

So, 15:27 is equivalent to 10:
1
8.

3. Final Answer

The ratios equivalent to 10:18 are 20:36 and 15:27.

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