Is 8/12 equal to 2/3?
Understand the Problem
The question is asking whether the fraction 8/12 is equivalent to the fraction 2/3. To solve this, we can simplify 8/12 and see if it equals 2/3.
Answer
Yes, \( \frac{8}{12} = \frac{2}{3} \).
Answer for screen readers
Yes, the fraction ( \frac{8}{12} ) is equivalent to the fraction ( \frac{2}{3} ).
Steps to Solve
- Simplify the fraction 8/12
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator (8) and the denominator (12).
The GCD of 8 and 12 is 4.
Now, divide both the numerator and the denominator by their GCD:
$$ \frac{8 \div 4}{12 \div 4} = \frac{2}{3} $$
- Check for equivalence
Now that we have simplified $ \frac{8}{12} $ to $ \frac{2}{3} $, we need to check if both fractions are equal:
$$ \frac{8}{12} = \frac{2}{3} $$
Since they are equal, we conclude that the fractions are equivalent.
Yes, the fraction ( \frac{8}{12} ) is equivalent to the fraction ( \frac{2}{3} ).
More Information
Both fractions ( \frac{8}{12} ) and ( \frac{2}{3} ) represent the same value when simplified. This shows the importance of understanding how to reduce fractions.
Tips
Common mistakes include forgetting to simplify the fraction completely or not finding the GCD correctly. Always ensure that the GCD is the largest number that divides both the numerator and denominator.
