12/8 simplified
Understand the Problem
The question is asking for the simplification of the fraction 12/8 by finding the greatest common divisor and reducing it to its lowest terms.
Answer
\frac{3}{2}
Answer for screen readers
The simplified fraction is \frac{3}{2}
Steps to Solve
- Find the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) of 12 and 8 can be determined by listing the factors of each number.
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 8: 1, 2, 4, 8
The common factors are 1, 2, and 4, with 4 being the greatest. Thus, the GCD is 4.
- Divide the numerator and the denominator by the GCD
Simplify the fraction by dividing both the numerator and the denominator by their GCD, 4:
$$\frac{12 , \text{ (numerator)}}{8 , \text{ (denominator)}} = \frac{12 \div 4}{8 \div 4} = \frac{3}{2}$$
Thus, the simplified fraction is 3/2.
The simplified fraction is \frac{3}{2}
More Information
Simplifying fractions makes them easier to interpret and use in further calculations. The simplified fraction \frac{3}{2} can also be written as 1.5 in decimal form.
Tips
A common mistake is not correctly identifying the greatest common divisor. Ensure to list all factors and choose the highest one.
AI-generated content may contain errors. Please verify critical information
