Write 2/8 in lowest terms.
Understand the Problem
The question is asking us to simplify the fraction 2/8 to its lowest terms. This involves finding the greatest common divisor of the numerator and denominator and reducing the fraction accordingly.
Answer
The simplified form of the fraction is $\frac{1}{4}$.
Answer for screen readers
The simplified form of the fraction $\frac{2}{8}$ is $\frac{1}{4}$.
Steps to Solve
- Identify the numerator and denominator
The fraction is given as $\frac{2}{8}$. Here, the numerator is 2 and the denominator is 8.
- Find the greatest common divisor (GCD)
To simplify the fraction, we need to find the GCD of 2 and 8. The factors of 2 are 1, 2. The factors of 8 are 1, 2, 4, 8. The largest common factor is 2.
- Divide both the numerator and the denominator by the GCD
Now we can simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 2: $$ \frac{2 \div 2}{8 \div 2} = \frac{1}{4} $$
- Write the final simplified fraction
The simplified form of the fraction $\frac{2}{8}$ is $\frac{1}{4}$.
The simplified form of the fraction $\frac{2}{8}$ is $\frac{1}{4}$.
More Information
When simplifying fractions, finding the GCD is key to reducing the fraction to its simplest form. In this case, reducing $\frac{2}{8}$ serves as a basic example of fraction simplification.
Tips
- Forgetting to find the GCD: Ensure you always check for the greatest common divisor before simplifying.
- Not dividing both numerator and denominator: It's essential to reduce both parts of the fraction equally to maintain its value.
