Reduce 6/18 to lowest terms.
Understand the Problem
The question is asking to simplify the fraction 6/18 to its lowest terms by finding the greatest common divisor (GCD) of the numerator and denominator.
Answer
The simplified fraction is $\frac{1}{3}$.
Answer for screen readers
The simplified form of the fraction $\frac{6}{18}$ is $\frac{1}{3}$.
Steps to Solve
- Identify the Greatest Common Divisor (GCD)
To simplify the fraction, find the GCD of the numerator (6) and the denominator (18). The GCD is the largest number that divides both 6 and 18.
The divisors of 6 are: 1, 2, 3, 6.
The divisors of 18 are: 1, 2, 3, 6, 9, 18.
The GCD is 6.
- Divide the numerator and denominator by the GCD
Now, divide both the numerator and the denominator by the GCD (6) to simplify the fraction.
$$ \text{New Numerator} = \frac{6}{6} = 1 $$
$$ \text{New Denominator} = \frac{18}{6} = 3 $$
- Write the simplified fraction
The simplified fraction is thus:
$$ \frac{1}{3} $$
The simplified form of the fraction $\frac{6}{18}$ is $\frac{1}{3}$.
More Information
Simplifying fractions helps in making calculations easier and clearer. The GCD is a useful concept in fraction tasks, allowing you to reduce fractions efficiently.
Tips
- Forgetting to find the GCD correctly. Always list the divisors carefully.
- Not dividing both the numerator and denominator by the same GCD can lead to errors in simplification.
