Solving the Expression: 1/2 + 1/3 + 1/4
In this article, we will solve the expression 1/2 + 1/3 + 1/4.
Step 1: Find the Least Common Multiple (LCM)
To add these fractions, we need to find the least common multiple (LCM) of the denominators, which are 2, 3, and 4. The LCM is 12. Therefore, we need to convert each fraction to have a denominator of 12.
Step 2: Convert Each Fraction to Have a Denominator of 12
1/2
To convert 1/2 to have a denominator of 12, we multiply the numerator and denominator by 6.
1/2 = (1 × 6) / (2 × 6) = 6/12
1/3
To convert 1/3 to have a denominator of 12, we multiply the numerator and denominator by 4.
1/3 = (1 × 4) / (3 × 4) = 4/12
1/4
To convert 1/4 to have a denominator of 12, we multiply the numerator and denominator by 3.
1/4 = (1 × 3) / (4 × 3) = 3/12
Step 3: Add the Fractions
Now that all fractions have the same denominator, we can add them.
6/12 + 4/12 + 3/12 = (6 + 4 + 3) / 12 = 13/12
The Solution
The solution to the expression 1/2 + 1/3 + 1/4 is 13/12.
