Question

is 2:1 equivalent to 25:10

Answer 1

To determine if the ratios \(2:1\) and \(25:10\) are equivalent, you can simplify both ratios.

1. For \(2:1\):
- This ratio is already in simplest form.

2. For \(25:10\):
- Divide both numbers by their greatest common divisor (GCD), which is 5:
\[
\frac{25}{5} : \frac{10}{5} = 5:2
\]

Now we have \(2:1\) and \(5:2\). To see if they are equivalent, you can cross-multiply:

\[
2 \times 2 = 4 \quad \text{and} \quad 1 \times 5 = 5
\]

Since \(4 \neq 5\), the ratios \(2:1\) and \(25:10\) are not equivalent.