# What is an equivalent fraction of 6/12?

#### Understand the Problem

The question is asking for an equivalent fraction of 6/12, meaning we need to find another fraction that represents the same value. To do this, we can simplify 6/12 or find fractions that have the same ratio.

The equivalent fraction of $\frac{6}{12}$ is $\frac{1}{2}$. Other examples include $\frac{2}{4}$ and $\frac{3}{6}$.

The equivalent fraction of $\frac{6}{12}$ is $\frac{1}{2}$. Other equivalent fractions include $\frac{2}{4}$ and $\frac{3}{6}$.

#### Steps to Solve

1. Identify the original fraction

We start with the fraction $\frac{6}{12}$.

1. Simplify the fraction

To find an equivalent fraction, we can simplify by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 6 and 12 is 6.

So we divide both by 6:

$$\frac{6 \div 6}{12 \div 6} = \frac{1}{2}$$

1. Finding other equivalent fractions

We can also multiply the simplified fraction by any non-zero integer to get another equivalent fraction.

For example, if we multiply by 2:

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

Or if we multiply by 3:

$$\frac{1 \times 3}{2 \times 3} = \frac{3}{6}$$

These calculations give us additional equivalent fractions.

The equivalent fraction of $\frac{6}{12}$ is $\frac{1}{2}$. Other equivalent fractions include $\frac{2}{4}$ and $\frac{3}{6}$.

Equivalent fractions are fractions that represent the same value. For example, $\frac{1}{2}$, $\frac{2}{4}$, and $\frac{3}{6}$ are all equivalent to $\frac{6}{12}$. The concept of equivalent fractions is fundamental in understanding the relationships between different fractions.