Question

All of the following are equivalent except _____.

7.5:4.5
5 is to 3
45/27
15/5

Answer 1

To determine which of the options are equivalent, we can simplify or convert each option into its simplest ratio or value.

1. **7.5:4.5** - We can simplify this ratio:
\[
7.5 \div 4.5 = \frac{75}{45} = \frac{5}{3}
\]
So, \(7.5:4.5\) simplifies to \(5:3\).

2. **5 is to 3** - This is written as \(5:3\).

3. **45/27** - We simplify this fraction:
\[
45 \div 27 = \frac{5}{3}
\]
So, \(45/27\) simplifies to \(5/3\).

4. **15/5** - We simplify this fraction:
\[
15 \div 5 = 3
\]

Now summarizing the equivalents we have:
- \(7.5:4.5\) is equivalent to \(5:3\).
- \(5\) is to \(3\) is \(5:3\).
- \(45/27\) is equivalent to \(5/3\).
- \(15/5\) simplifies to \(3\).

The only option that is not equivalent to the others is **15/5**, as it simplifies to \(3\), while all the others simplify to \(5:3\).

Thus, the answer is: **15/5**.