Adding Fractions: 1 1/2 + 2/3
In this article, we will explore how to add fractions, specifically the problem of adding 1 1/2 and 2/3.
Understanding the Problem
To add these fractions, we need to understand what each fraction represents. The mixed number 1 1/2 can be written as an improper fraction, which is:
1 1/2 = 3/2
The fraction 2/3 is already in its simplest form.
Step-by-Step Solution
To add these fractions, we need to find a common denominator, which is the least common multiple (LCM) of 2 and 3, which is 6.
We can convert both fractions to have a denominator of 6:
3/2 = 9/6 2/3 = 4/6
Now we can add the fractions:
9/6 + 4/6 = 13/6
The resulting fraction is an improper fraction, which can be written as a mixed number:
13/6 = 2 1/6
Answer
The result of adding 1 1/2 and 2/3 is 2 1/6.
By following these steps, you can add fractions with different denominators and solve problems like this one.
