simplify 12/16
Understand the Problem
The question is asking to simplify the fraction 12/16 to its lowest terms by finding the greatest common divisor (GCD).
Answer
\( \frac{3}{4} \)
Answer for screen readers
The final answer is ( \frac{3}{4} )
Steps to Solve
- Find the GCD of 12 and 16
The first step is to find the greatest common divisor (GCD) of the numbers 12 and 16. The GCD of 12 and 16 is 4.
- Divide both the numerator and the denominator by the GCD
Next, we divide both the numerator (12) and the denominator (16) by their GCD (4).
$$ \frac{12 \div 4}{16 \div 4} = \frac{3}{4} $$
- Simplify the fraction
The result from the division is the fraction in its simplest form.
The final answer is ( \frac{3}{4} )
More Information
Simplifying fractions is a basic arithmetic skill that helps in making calculations easier and understanding ratios better.
Tips
A common mistake is not finding the correct GCD. Always check that the divisor you use is actually the greatest common divisor to ensure the fraction is fully simplified.