# What ratio is equivalent to 2/3?

#### Understand the Problem

The question is asking for a ratio that has the same value as 2/3. Ratios can be expressed in various equivalent forms, such as multiplying both the numerator and the denominator by the same number.

The equivalent ratio is $\frac{8}{12}$.

One equivalent ratio for $\frac{2}{3}$ is $\frac{8}{12}$.

#### Steps to Solve

1. Identify the original ratio
The original ratio given is $\frac{2}{3}$.

2. Choose a multiplier
Select a number to multiply both numerator and denominator. For example, let's use 4.

3. Multiply numerator and denominator by the chosen number
Multiply both 2 and 3 by 4:
Numerator: $2 \times 4 = 8$
Denominator: $3 \times 4 = 12$

4. Write the new ratio
Combine the new numerator and denominator into a ratio:
The new ratio is $\frac{8}{12}$.

5. Verify equivalence
Check if the original ratio $\frac{2}{3}$ is equivalent to the new ratio $\frac{8}{12}$ by simplifying.
Divide the numerator and denominator of $\frac{8}{12}$ by their GCD (which is 4):
$$\frac{8 \div 4}{12 \div 4} = \frac{2}{3}$$
This confirms that $\frac{8}{12}$ is equivalent to $\frac{2}{3}$.

One equivalent ratio for $\frac{2}{3}$ is $\frac{8}{12}$.