Is 8/12 equivalent to 2/3?
Understand the Problem
The question is asking whether the fraction 8/12 can be simplified to 2/3 or if both fractions represent the same value. To determine this, we'll need to simplify 8/12 and check if it equals 2/3.
Answer
Yes, $\frac{8}{12}$ simplifies to $\frac{2}{3}$.
Answer for screen readers
Yes, $\frac{8}{12}$ simplifies to $\frac{2}{3}$.
Steps to Solve
- Identify the greatest common divisor (GCD)
To simplify the fraction $\frac{8}{12}$, we first need to find the GCD of the numerator (8) and the denominator (12).
The GCD of 8 and 12 is 4.
- Divide both the numerator and denominator by the GCD
Now, divide both the numerator and the denominator of $\frac{8}{12}$ by the GCD found:
$$ \frac{8 \div 4}{12 \div 4} = \frac{2}{3} $$
- Conclusion of simplification
We've simplified $\frac{8}{12}$ to $\frac{2}{3}$.
This shows that both fractions represent the same value.
Yes, $\frac{8}{12}$ simplifies to $\frac{2}{3}$.
More Information
Both fractions $\frac{8}{12}$ and $\frac{2}{3}$ represent the same value, which is approximately 0.6667. Simplifying fractions helps in comparing values easily.
Tips
- Mistaking the numerator or denominator when finding the GCD.
- Failing to simplify both the numerator and denominator when simplifying the fraction.
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