24/9 simplified
Understand the Problem
The question is asking to simplify the fraction 24/9 to its lowest terms, which involves dividing both the numerator and denominator by their greatest common divisor.
Answer
\(\frac{8}{3}\)
Answer for screen readers
The fraction (\frac{24}{9}) simplifies to (\frac{8}{3})
Steps to Solve
- Find the Greatest Common Divisor (GCD)
The first step is to find the greatest common divisor (GCD) of the numerator (24) and the denominator (9). The GCD is the largest number that can evenly divide both numbers.
For 24 and 9, the GCD is 3.
- Divide the Numerator and Denominator by the GCD
Next, divide both the numerator and the denominator by the GCD to simplify the fraction.
$$\frac{24}{9} = \frac{24 \div 3}{9 \div 3} = \frac{8}{3}$$
So, the fraction simplifies to (\frac{8}{3}).
The fraction (\frac{24}{9}) simplifies to (\frac{8}{3})
More Information
An improper fraction like (\frac{8}{3}) can also be expressed as a mixed number: 2 (\frac{2}{3})
Tips
A common mistake is to not find the largest common divisor, which results in not fully simplifying the fraction. Always ensure the GCD is the largest number that divides both the numerator and the denominator.
AI-generated content may contain errors. Please verify critical information
