44/12 simplified
Understand the Problem
The question is asking for the simplification of the fraction 44/12 to its lowest terms, which involves finding the greatest common divisor (GCD) of the numerator and denominator to reduce the fraction.
Answer
The simplified fraction is $\frac{11}{3}$.
Answer for screen readers
The simplified form of the fraction $\frac{44}{12}$ is $\frac{11}{3}$.
Steps to Solve
- Find the GCD of 44 and 12
To simplify the fraction $\frac{44}{12}$, we first need to find the greatest common divisor (GCD) of the numerator (44) and the denominator (12).
The factors of 44 are: 1, 2, 4, 11, 22, 44
The factors of 12 are: 1, 2, 3, 4, 6, 12
The largest common factor is 4, so the GCD(44, 12) = 4.
- Divide the numerator and denominator by the GCD
Now, we will divide both the numerator and the denominator of the fraction by the GCD to reduce the fraction.
$$ \frac{44 \div 4}{12 \div 4} = \frac{11}{3} $$
- Write the simplified fraction
After dividing both the numerator and denominator by their GCD, we arrive at the simplified fraction:
$$ \frac{11}{3} $$
The simplified form of the fraction $\frac{44}{12}$ is $\frac{11}{3}$.
More Information
Reducing fractions to their lowest terms helps in simplifying calculations and comparisons. Additionally, $\frac{11}{3}$ is an improper fraction as the numerator is larger than the denominator.
Tips
- Forgetting to find the GCD first and attempting to simplify the fraction without it.
- Dividing either the numerator or denominator incorrectly, leading to a wrong simplified fraction.
