write 2/8 in lowest terms
Understand the Problem
The question is asking us to simplify the fraction 2/8 to its lowest terms. To do this, we will divide both the numerator and the denominator by their greatest common divisor.
Answer
$\frac{1}{4}$
Answer for screen readers
The simplified fraction is $\frac{1}{4}$.
Steps to Solve
- Find 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 largest number that can divide both numbers without leaving a remainder.
The GCD of 2 and 8 is 2.
- Divide the Numerator and Denominator by the GCD
Now that we have the GCD, we will divide both the numerator and denominator by 2:
$$ \frac{2 \div 2}{8 \div 2} = \frac{1}{4} $$
- Final Fraction in Lowest Terms
After dividing, we find that the simplified fraction is $\frac{1}{4}$, which is in its lowest terms.
The simplified fraction is $\frac{1}{4}$.
More Information
Simplifying fractions is an essential skill in mathematics. Knowing how to find the GCD helps in reducing fractions to their simplest form, making calculations easier and more accurate.
Tips
- A common mistake is failing to find the GCD correctly, which could lead to an incorrect simplification.
- Another mistake is not dividing both the numerator and the denominator by the GCD, which would also lead to an incorrect fraction.