Question

Select all ratios equivalent to 5:10.

15:30
30:60
2:4

Answer 1

To determine if the ratios are equivalent to \( 5:10 \), we can simplify \( 5:10 \) first.

The ratio \( 5:10 \) can be simplified by dividing both sides by 5:
\[
\frac{5}{5}:\frac{10}{5} = 1:2
\]

Now, let's simplify the other ratios to see if any of them are equivalent to \( 1:2 \).

1. **For \( 15:30 \)**:
\[
\frac{15}{15}:\frac{30}{15} = 1:2
\]
Thus, \( 15:30 \) is equivalent to \( 5:10 \).

2. **For \( 30:60 \)**:
\[
\frac{30}{30}:\frac{60}{30} = 1:2
\]
Thus, \( 30:60 \) is also equivalent to \( 5:10 \).

3. **For \( 2:4 \)**:
\[
\frac{2}{2}:\frac{4}{2} = 1:2
\]
Thus, \( 2:4 \) is also equivalent to \( 5:10 \).

Therefore, all three ratios \( 15:30 \), \( 30:60 \), and \( 2:4 \) are equivalent to \( 5:10 \).