15/52 simplified
Understand the Problem
The question is asking to simplify the fraction 15/52 to its lowest terms. This involves finding the greatest common divisor (GCD) of both the numerator and denominator and then dividing them by this GCD.
Answer
$$ \frac{15}{52} $$
Answer for screen readers
The simplified form of the fraction is
$$ \frac{15}{52} $$.
Steps to Solve
- Identify the numerator and denominator
The given fraction is
$$ \frac{15}{52} $$
Here, the numerator is 15 and the denominator is 52.
- Find the GCD of the numerator and denominator
To simplify the fraction, we need to find the greatest common divisor (GCD) of 15 and 52.
- The factors of 15 are: 1, 3, 5, 15
- The factors of 52 are: 1, 2, 4, 13, 26, 52
The GCD is 1, since it is the highest number that divides both.
- Divide both the numerator and denominator by the GCD
We simplify the fraction by dividing both the numerator and the denominator by their GCD:
$$ \frac{15 \div 1}{52 \div 1} = \frac{15}{52} $$
- Conclude the simplification
Since the GCD is 1, the fraction cannot be simplified further, meaning
$$ \frac{15}{52} $$
is already in its lowest terms.
The simplified form of the fraction is
$$ \frac{15}{52} $$.
More Information
The fraction $\frac{15}{52}$ is in simplest form because 15 and 52 have no common factors other than 1. It is important to check for factors carefully to confirm that a fraction is in its lowest terms.
Tips
- A common mistake is to incorrectly calculate the GCD. Always check the factors systematically to avoid errors.
- Another mistake is assuming that any fraction with different numbers can be simplified; ensuring the GCD is greater than 1 is vital.
