Question

Select all ratios equivalent to 4:2.

2:1
24:12
8:6

Answer 1

To find ratios equivalent to \(4:2\), we can simplify \(4:2\) to its simplest form. Dividing both terms by 2, we get:

\[
4:2 = 2:1
\]

Now let's check the other ratios provided:

1. **For \(24:12\)**:
\[
24 \div 12 = 2
\]
Thus,
\[
24:12 = 2:1
\]
So, \(24:12\) is equivalent to \(4:2\).

2. **For \(8:6\)**:
To simplify \(8:6\), we divide both terms by 2:
\[
8 \div 2 = 4 \quad \text{and} \quad 6 \div 2 = 3
\]
So,
\[
8:6 = 4:3
\]
Since \(4:3\) is not equal to \(2:1\), it is not equivalent to \(4:2\).

In summary, the equivalent ratios to \(4:2\) from the choices given are:
- \(2:1\)
- \(24:12\)

So, the final answer is:
- \(2:1\)
- \(24:12\)