8/34 simplified
Understand the Problem
The question is asking to simplify the fraction 8/34 to its lowest terms.
Answer
The simplified fraction is \( \frac{4}{17} \).
Answer for screen readers
The simplified form of the fraction ( \frac{8}{34} ) is ( \frac{4}{17} ).
Steps to Solve
- Identify the greatest common divisor (GCD)
To simplify the fraction, we need to find the GCD of the numerator (8) and the denominator (34). The GCD is the largest number that divides both numbers without leaving a remainder.
- Calculate the GCD
The factors of 8 are 1, 2, 4, and 8, while the factors of 34 are 1, 2, 17, and 34. The highest common factor is 2.
- Divide the numerator and denominator by the GCD
Now, we divide both the numerator and the denominator by 2.
$$ \frac{8 \div 2}{34 \div 2} = \frac{4}{17} $$
- State the simplified fraction
The fraction 8/34 simplifies to 4/17.
The simplified form of the fraction ( \frac{8}{34} ) is ( \frac{4}{17} ).
More Information
Simplifying fractions is a fundamental skill in mathematics that helps to make numbers easier to work with. It can simplify calculations and provide clearer results in both academic settings and everyday life.
Tips
- Failing to find the GCD correctly. To avoid this, ensure you list all factors of both numbers to identify the largest common factor.
- Not dividing both the numerator and denominator by the GCD. Remember to perform the operation on both parts of the fraction.
