What is 2/8 in simplest form?
Understand the Problem
The question is asking how to simplify the fraction 2/8 to its simplest form. To solve it, we will divide both the numerator and denominator by their greatest common divisor.
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 Greatest Common Divisor (GCD)
To simplify the fraction $\frac{2}{8}$, we need to find the GCD of the numerator (2) and the denominator (8). The GCD is the highest number that divides both.
- Calculate the GCD of 2 and 8
The factors of 2 are: 1, 2
The factors of 8 are: 1, 2, 4, 8
The greatest common factor is 2.
- Divide both the numerator and denominator by the GCD
Now we will divide both the numerator and denominator by the GCD (which is 2):
$$ \frac{2 \div 2}{8 \div 2} = \frac{1}{4} $$
- Write the 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, the goal is to express them in their simplest form, making them easier to work with in calculations. In this case, dividing by the GCD is a common method.
Tips
- Failing to find the GCD correctly can lead to incorrect simplification.
- Dividing only one part of the fraction instead of both the numerator and denominator.