What is 14/18?
Understand the Problem
The question is asking us to find the value of the fraction 14/18, which requires simplification or calculation to express it in its simplest form.
Answer
The simplified form of the fraction is $\frac{7}{9}$.
Answer for screen readers
The simplified form of the fraction $\frac{14}{18}$ is $\frac{7}{9}$.
Steps to Solve
- Find the Greatest Common Divisor (GCD)
To simplify the fraction, first find the GCD of the numerator (14) and denominator (18). The GCD is the largest number that divides both numbers evenly.
The factors of 14 are: 1, 2, 7, 14
The factors of 18 are: 1, 2, 3, 6, 9, 18
The common factors are: 1 and 2, so the GCD is 2.
- Divide both the numerator and denominator by the GCD
Now, divide both the numerator and denominator by the GCD we found (which is 2):
$$ \frac{14 \div 2}{18 \div 2} = \frac{7}{9} $$
- State the simplified fraction
The fraction is now simplified, and therefore:
$$ \frac{14}{18} = \frac{7}{9} $$
The simplified form of the fraction $\frac{14}{18}$ is $\frac{7}{9}$.
More Information
The fraction $\frac{7}{9}$ cannot be simplified further because the numerator and denominator do not have any common factors other than 1. Simplifying fractions helps in making calculations easier and clearer.
Tips
- Not finding the GCD correctly: Some might think that the GCD is just 1, leading to no simplification. To avoid this, always list the factors or use methods like the Euclidean algorithm.
- Forgetting to divide both parts of the fraction: It's essential to divide both the numerator and the denominator by the GCD to maintain the equality of the fraction.
