16/26 simplified
Understand the Problem
The question is asking to simplify the fraction 16/26. To do this, we need to find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by that number.
Answer
The simplified fraction is \( \frac{8}{13} \).
Answer for screen readers
The simplified fraction is ( \frac{8}{13} ).
Steps to Solve
- Find the Greatest Common Divisor (GCD)
To simplify the fraction, we first need to find the GCD of the numerator (16) and the denominator (26). The GCD is the largest number that divides both numbers without leaving a remainder.
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 26 are: 1, 2, 13, 26
The common factors are: 1, 2, so the GCD is 2.
- Divide both the numerator and denominator by the GCD
Now, we divide both the numerator and the denominator of the fraction by the GCD we found.
$$ \text{Numerator: } \frac{16}{2} = 8 $$
$$ \text{Denominator: } \frac{26}{2} = 13 $$
- Write the simplified fraction
After dividing, we write the simplified fraction using the new numerator and denominator:
$$ \frac{16}{26} = \frac{8}{13} $$
The simplified fraction is ( \frac{8}{13} ).
More Information
The process of simplifying a fraction involves finding the GCD of the numerator and the denominator, which can help reduce the fraction to its simplest form. Understanding GCD is important in various mathematical applications.
Tips
- Not finding the GCD correctly: It's crucial to ensure you're identifying the largest common factor.
- Forgetting to simplify both the numerator and denominator: Always divide both parts of the fraction by the GCD.
