18/54 in simplest form
Understand the Problem
The question is asking for the simplest form of the fraction 18/54. To simplify a fraction, we divide both the numerator (18) and the denominator (54) by their greatest common divisor (GCD).
Answer
The simplest form of the fraction \( \frac{18}{54} \) is \( \frac{1}{3} \).
Answer for screen readers
The simplest form of the fraction ( \frac{18}{54} ) is ( \frac{1}{3} ).
Steps to Solve
- Find the GCD of 18 and 54
To simplify the fraction, we first need to determine the greatest common divisor (GCD) of 18 and 54. The GCD is the largest number that can evenly divide both numbers.
The divisors of 18 are: 1, 2, 3, 6, 9, 18.
The divisors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54.
The GCD is 18.
- Divide both the numerator and the denominator by the GCD
Now, we simplify the fraction by dividing both the numerator (18) and the denominator (54) by their GCD (18).
$$ \frac{18 \div 18}{54 \div 18} = \frac{1}{3} $$
- Final Simplified Form
The simplified form of the fraction $\frac{18}{54}$ is now expressed as:
$$ \frac{1}{3} $$
The simplest form of the fraction ( \frac{18}{54} ) is ( \frac{1}{3} ).
More Information
Simplifying fractions is an important concept in mathematics that allows us to express numbers in their simplest form. In this case, simplifying ( \frac{18}{54} ) not only reduces the numbers but also makes calculations easier.
Tips
Some common mistakes when simplifying fractions include:
- Failing to find the correct GCD. Always double-check your divisors to ensure you have the right GCD.
- Dividing only one part of the fraction (numerator or denominator) instead of both. Remember, you need to divide both by the GCD.
