The value of 8/12 simplified as a fraction is equal to 2/3. In this post, we will write 8/12 (8 divided by 12) in its simplest form, that is, we will reduce the fraction 8/12 to the lowest terms. We will also simplify 8:12.
Question: What is the simplified form of 8/12?
Answer: The simplified form of 8/12 is 2/3. |
Solution:
For $\dfrac{8}{12}$, the numerator is 8 and the denominator is 12.
Step 1:
First, we will find the greatest common divisor (GCD) of the numerator and the denominator, that is, we will find
GCD (8, 12).
Step 2:
- The divisors of 8 are 1, 2, 4, and 8.
- The divisors of 12 are 1, 2, 3, 4, 6, and 12.
Look that 4 is the highest number that divides both 8 and 12. Thus, we conclude that
GCD (8, 12) = 4.
Step 3:
Divide the numerator and the denominator by GCD (8, 12) = 4. Thus, we get that
$\dfrac{8}{12}=\dfrac{8 \div 4}{12 \div 4}=\dfrac{2}{3}$.
Conclusion:
2/3 is the simplified form of 8/12.
Note: We have reduced 8/12 to 2/3, and it is an equivalent fraction of 8/12.
As the ratio 8:12 is the fraction 8/12, so we can say that 2:3 is the simplified form of 8:12.
Video Solution of 8/12 Simplified:
FAQs
Q1: What is the simplest form of 8/12?
Answer: The simplest form of 8/12 is equal to 2/3.
Q2: Write an equivalent fraction of 8/12.
Answer: 2/3 is an equivalent fraction of 8/12.
Q3: What is 8/12 simplified?
Answer: 8/12 simplified is equal to 2/3.