18/30 in simplest form
Understand the Problem
The question is asking to simplify the fraction 18/30 to its lowest terms. This involves dividing both the numerator and the denominator by their greatest common divisor (GCD).
Answer
The simplified fraction is $\frac{3}{5}$.
Answer for screen readers
The simplified fraction of $\frac{18}{30}$ is $\frac{3}{5}$.
Steps to Solve
- Find the GCD of the numerator and denominator
To simplify the fraction $\frac{18}{30}$, we first need to find the greatest common divisor (GCD) of the numbers 18 and 30. The GCD is the largest number that divides both numbers evenly.
The divisors of 18 are: 1, 2, 3, 6, 9, 18.
The divisors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30.
The common divisors are: 1, 2, 3, 6.
The GCD is 6.
- Divide the numerator and denominator by their GCD
Now that we've found the GCD, we can simplify the fraction by dividing both the numerator and the denominator by 6.
$$ \frac{18 \div 6}{30 \div 6} = \frac{3}{5} $$
- Final simplified fraction
The simplified form of the fraction $\frac{18}{30}$ is $\frac{3}{5}$.
The simplified fraction of $\frac{18}{30}$ is $\frac{3}{5}$.
More Information
To simplify fractions, finding the GCD is a crucial step. The GCD of two numbers can be found using methods like prime factorization or the Euclidean algorithm. The final simplified fraction maintains the same value as the original fraction but is expressed in its simplest form.
Tips
- Forgetting to divide both numerator and denominator by the GCD, which can result in an incorrect fraction. Always ensure you perform the same operation on both parts of the fraction.