14/52 simplified
Understand the Problem
The question is asking for the simplified form of the fraction 14/52. To simplify a fraction, we need to divide both the numerator and the denominator by their greatest common divisor (GCD).
Answer
The simplified form of the fraction $ \frac{14}{52} $ is $ \frac{7}{26} $.
Answer for screen readers
The simplified form of the fraction $ \frac{14}{52} $ is $ \frac{7}{26} $.
Steps to Solve
- Find the GCD of 14 and 52
To simplify the fraction, we first need to find the greatest common divisor (GCD) of 14 and 52. We can do this by listing the factors of both numbers or using the Euclidean algorithm.
For 14: Factors are 1, 2, 7, and 14.
For 52: Factors are 1, 2, 4, 13, 26, and 52.
The largest common factor is 2, so the GCD is 2.
- Divide both the numerator and denominator by the GCD
Now that we have the GCD, we will simplify the fraction by dividing both the numerator and the denominator by 2.
$$ \text{Simplified numerator} = \frac{14}{2} = 7 $$
$$ \text{Simplified denominator} = \frac{52}{2} = 26 $$
- Write down the simplified fraction
The final step is to write down the simplified form of the fraction.
Thus, the simplified fraction is:
$$ \frac{14}{52} = \frac{7}{26} $$
The simplified form of the fraction $ \frac{14}{52} $ is $ \frac{7}{26} $.
More Information
The simplification of fractions is common in mathematics and helps in making calculations simpler. It is always good practice to express fractions in their simplest form!
Tips
One common mistake is to forget to find the GCD and simply divide both numbers by a smaller number that is not the GCD. To avoid this, ensure that you correctly determine the greatest common divisor before simplifying.
