16/18 in simplest form
Understand the Problem
The question is asking to simplify the fraction 16/18 to its lowest terms. This involves finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by that number.
Answer
The fraction $\frac{16}{18}$ simplifies to $\frac{8}{9}$.
Answer for screen readers
The simplified form of the fraction $\frac{16}{18}$ is $\frac{8}{9}$.
Steps to Solve
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Identify the numerator and denominator
The fraction we have is $\frac{16}{18}$. Here, 16 is the numerator and 18 is the denominator. -
Find the GCD
Next, we need to find the greatest common divisor (GCD) of 16 and 18. The GCD is the largest number that divides both numbers without leaving a remainder.
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 18 are: 1, 2, 3, 6, 9, 18
The common factors are 1 and 2, so the GCD is 2. -
Divide the numerator and the denominator by the GCD
Now, we will simplify the fraction by dividing both 16 and 18 by their GCD, which is 2.
$$ \frac{16 \div 2}{18 \div 2} = \frac{8}{9} $$ -
Write the simplified fraction
The fraction $\frac{16}{18}$ simplified to its lowest terms is $\frac{8}{9}$.
The simplified form of the fraction $\frac{16}{18}$ is $\frac{8}{9}$.
More Information
This simplification method helps in reducing fractions to their simplest form, making it easier to work with. Understanding how to find the GCD is a useful skill in many areas of mathematics.
Tips
- Forgetting to find the GCD: Some may jump to divide without determining the GCD first. Make sure to always find the GCD to simplify correctly.
- Dividing incorrectly: Ensure that both the numerator and the denominator are divided by the same number.
