Simplifying Fractions: 1/4 + 2/8
In this article, we will explore how to simplify the fraction 1/4 + 2/8. Before we dive into the solution, let's first understand the basics of fractions and how to add them.
What are Fractions?
A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.
How to Add Fractions
To add fractions, we need to have the same denominator. If the denominators are different, we need to find the least common multiple (LCM) of the two denominators.
Simplifying 1/4 + 2/8
Now, let's simplify the fraction 1/4 + 2/8.
First, we need to find the least common multiple (LCM) of 4 and 8, which is 8.
So, we can rewrite the fractions with a denominator of 8:
1/4 = 2/8 (multiply numerator and denominator by 2) 2/8 = 2/8 (no change)
Now, we can add the fractions:
2/8 + 2/8 = 4/8
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4.
4/8 = 1/2
Therefore, the simplified fraction is 1/2.
Conclusion
In conclusion, we have successfully simplified the fraction 1/4 + 2/8 to 1/2. Remember to always find the least common multiple (LCM) of the denominators and simplify the fraction by dividing by the greatest common divisor (GCD).
