Question
Select all ratios equivalent to 12:2.
30:5
18:3
21:1
30:5
18:3
21:1
Answers
Answered by
GPT-4o mini
To determine which ratios are equivalent to 12:2, we can simplify 12:2 and compare it with the given ratios.
First, simplify 12:2:
\[
\frac{12}{2} = 6
\]
So, 12:2 simplifies to 6:1.
Now, let's simplify the given ratios:
1. **30:5**:
\[
\frac{30}{5} = 6
\]
This simplifies to 6:1, so 30:5 is equivalent to 12:2.
2. **18:3**:
\[
\frac{18}{3} = 6
\]
This also simplifies to 6:1, so 18:3 is equivalent to 12:2.
3. **21:1**:
\[
\frac{21}{1} = 21
\]
This simplifies to 21:1, which is not equivalent to 6:1 (12:2).
So, the ratios equivalent to 12:2 are:
- 30:5
- 18:3
First, simplify 12:2:
\[
\frac{12}{2} = 6
\]
So, 12:2 simplifies to 6:1.
Now, let's simplify the given ratios:
1. **30:5**:
\[
\frac{30}{5} = 6
\]
This simplifies to 6:1, so 30:5 is equivalent to 12:2.
2. **18:3**:
\[
\frac{18}{3} = 6
\]
This also simplifies to 6:1, so 18:3 is equivalent to 12:2.
3. **21:1**:
\[
\frac{21}{1} = 21
\]
This simplifies to 21:1, which is not equivalent to 6:1 (12:2).
So, the ratios equivalent to 12:2 are:
- 30:5
- 18:3
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