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
- Identify the original fraction
We start with the fraction $ \frac{6}{12} $.
- 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:
$$ \frac{6 \div 6}{12 \div 6} = \frac{1}{2} $$
- 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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