Math Snap

STEP 1

1. We are given the ratio $5:4$.
2. We need to determine which of the given ratios are equivalent to $5:4$.
3. Ratios are equivalent if they simplify to the same simplest form.

STEP 2

1. Simplify the given ratio $5:4$.
2. Simplify each of the provided ratios.
3. Compare each simplified ratio to $5:4$.

STEP 3

Simplify the given ratio $5:4$.
Since $5$ and $4$ are coprime, the simplest form of the ratio $5:4$ is itself $5:4$.

STEP 4

Simplify the ratio $11:2$.
The numbers $11$ and $2$ are coprime, so the simplest form of the ratio $11:2$ is itself $11:2$.

STEP 5

Simplify the ratio $60:48$.
Find the greatest common divisor (GCD) of $60$ and $48$.
The GCD of $60$ and $48$ is $12$.
Divide both terms by $12$:
$$\frac{60}{12} : \frac{48}{12} = 5:4$$

STEP 6

Simplify the ratio $3:6$.
Find the greatest common divisor (GCD) of $3$ and $6$.
The GCD of $3$ and $6$ is $3$.
Divide both terms by $3$:
$$\frac{3}{3} : \frac{6}{3} = 1:2$$

Compare each simplified ratio to $5:4$.
- $11:2$ is not equivalent to $5:4$.
- $60:48$ simplifies to $5:4$, so it is equivalent.
- $3:6$ simplifies to $1:2$, so it is not equivalent.
The ratio equivalent to $5:4$ is:
$$\boxed{60:48}$$