14/21 simplified
Understand the Problem
The question is asking for the simplified form of the fraction 14/21. To solve this, we will divide both the numerator and the denominator by their greatest common divisor (GCD).
Answer
The simplified form of the fraction is $\frac{2}{3}$.
Answer for screen readers
The simplified form of the fraction $\frac{14}{21}$ is $\frac{2}{3}$.
Steps to Solve
- Find the GCD of 14 and 21
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator (14) and the denominator (21). The factors of 14 are 1, 2, 7, and 14; the factors of 21 are 1, 3, 7, and 21. The largest number that is a factor of both is 7.
- Divide the numerator and denominator by the GCD
Now, we divide both the numerator and the denominator by the GCD (7):
- Numerator: $\frac{14}{7} = 2$
- Denominator: $\frac{21}{7} = 3$
- Write the simplified fraction
After dividing, the simplified fraction is: $$ \frac{2}{3} $$
The simplified form of the fraction $\frac{14}{21}$ is $\frac{2}{3}$.
More Information
When simplifying fractions, finding the GCD is crucial as it helps in reducing the fraction to its simplest form. This ensures that the fraction is easier to work with and interpret.
Tips
- Forgetting to find the GCD before simplifying can lead to incorrect simplification.
- Dividing only one part of the fraction instead of both the numerator and denominator by the GCD.
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