What is an equivalent fraction for 6/12?
Understand the Problem
The question is asking for an equivalent fraction for 6/12. To find an equivalent fraction, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which in this case is 6. This will allow us to express the fraction in a simpler form.
Answer
The equivalent fraction for \( \frac{6}{12} \) is \( \frac{1}{2} \).
Answer for screen readers
The equivalent fraction for ( \frac{6}{12} ) is ( \frac{1}{2} ).
Steps to Solve
- Identify the greatest common divisor (GCD)
To simplify the fraction $ \frac{6}{12} $, we first identify the greatest common divisor of the numerator (6) and the denominator (12). The GCD of 6 and 12 is 6.
- Divide both the numerator and denominator by the GCD
Now we will divide both the numerator and denominator by the GCD:
$$ \text{Numerator: } \frac{6}{6} = 1 $$
$$ \text{Denominator: } \frac{12}{6} = 2 $$
- Write the equivalent fraction
Now that we have simplified both the numerator and the denominator, we can write the equivalent fraction:
$$ \frac{6}{12} = \frac{1}{2} $$
The equivalent fraction for ( \frac{6}{12} ) is ( \frac{1}{2} ).
More Information
Simplifying fractions is important in mathematics as it helps to express numbers in their simplest form. The fraction ( \frac{1}{2} ) is easier to understand and work with than ( \frac{6}{12} ).
Tips
- One common mistake is to forget to divide both the numerator and denominator by the same number, leading to an incorrect fraction. Make sure to always divide both parts by the GCD.