24/16 simplified
Understand the Problem
The question is asking to simplify the fraction 24/16 to its simplest form by finding the greatest common divisor of the numerator and denominator and reducing the fraction accordingly.
Answer
\( \frac{3}{2} \)
Answer for screen readers
The final answer is ( \frac{3}{2} )
Steps to Solve
- Identify the greatest common divisor (GCD)
Identify the greatest common divisor (GCD) of the numerator 24 and the denominator 16. To do this, list the factors of each number:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 16: 1, 2, 4, 8, 16
The greatest common factor is 8.
- Divide numerator and denominator by GCD
Divide the numerator and the denominator by their GCD to simplify the fraction:
$$ \frac{24 \div 8}{16 \div 8} = \frac{3}{2} $$
- Simplified fraction result
Write down the result as the simplified fraction. The fraction 24/16 simplifies to 3/2.
The final answer is ( \frac{3}{2} )
More Information
Fractions are simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which in this case is 8.
Tips
A common mistake is to incorrectly identify the greatest common divisor (GCD). Double-check the factors of each number to ensure the correct GCD is used.
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