18/10 simplified
Understand the Problem
The question is asking to simplify the fraction 18/10 to its simplest form by finding the greatest common divisor (GCD) of the numerator and denominator.
Answer
The simplified form of $\frac{18}{10}$ is $\frac{9}{5}$.
Answer for screen readers
The simplified form of $\frac{18}{10}$ is $\frac{9}{5}$.
Steps to Solve
- Find the GCD of 18 and 10
To simplify the fraction, we first need to find the greatest common divisor (GCD) of the numerator 18 and the denominator 10.
The factors of 18 are: 1, 2, 3, 6, 9, 18.
The factors of 10 are: 1, 2, 5, 10.
The greatest common factor is 2.
- Divide both the numerator and denominator by the GCD
Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by 2.
$$ \frac{18 \div 2}{10 \div 2} $$
This results in:
$$ \frac{9}{5} $$
- Final Result
The simplest form of the fraction is:
$$ \frac{9}{5} $$
This means 18/10 simplified is 9/5.
The simplified form of $\frac{18}{10}$ is $\frac{9}{5}$.
More Information
When simplifying fractions, finding the GCD is crucial because it helps reduce the fraction to its most basic form. In this example, the simplification showed how 18/10 can be represented as 9/5, which is easier to interpret.
Tips
- Not finding the GCD correctly: It's important to check all factors to ensure the GCD is accurate.
- Only dividing one term: Remember to divide both the numerator and denominator by the GCD to keep the fraction equivalent.