Mathematical Expression: 1/2 + 3/4 + 1/6
In this article, we will explore the mathematical expression 1/2 + 3/4 + 1/6 and evaluate its result.
Breaking Down the Expression
Let's break down the expression into its individual components:
1/2
The first fraction is 1/2, which represents one half.
3/4
The second fraction is 3/4, which represents three quarters.
1/6
The third fraction is 1/6, which represents one sixth.
Adding the Fractions
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 2, 4, and 6 is 12. So, we will convert each fraction to have a denominator of 12:
1/2 = 6/12
3/4 = 9/12
1/6 = 2/12
Now we can add the fractions:
6/12 + 9/12 + 2/12 = 17/12
Simplifying the Result
The resulting fraction is 17/12. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 1:
17/12 = 1 5/12
Therefore, the result of the expression 1/2 + 3/4 + 1/6 is 1 5/12.
