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.

Answer

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

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} $.

More Information

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.

Tips

  • Failing to divide or multiply both the numerator and denominator by the same number when simplifying or finding equivalent fractions. Always ensure you operate on both parts equally.
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