The problem asks whether the ratios $2:4$ and $5:10$ are equivalent.

1. Problem Description

The problem asks whether the ratios $2:4$ and $5:10$ are equivalent.

2. Solution Steps

To determine if two ratios are equivalent, we can express them as fractions and see if the fractions are equal.

The ratio $2:4$ can be expressed as the fraction $\frac{2}{4}$.

The ratio $5:10$ can be expressed as the fraction $\frac{5}{10}$.

We can simplify both fractions to their lowest terms.

$\frac{2}{4}$ can be simplified by dividing both the numerator and denominator by 2:

$\frac{2}{4} = \frac{2 \div 2}{4 \div 2} = \frac{1}{2}$

$\frac{5}{10}$ can be simplified by dividing both the numerator and denominator by 5:

$\frac{5}{10} = \frac{5 \div 5}{10 \div 5} = \frac{1}{2}$

Since both fractions simplify to $\frac{1}{2}$, the ratios are equivalent.

3. Final Answer

Yes