Simplifying the Fraction: 1/7 + 1/3 + 1/2
In this article, we will explore how to simplify the fraction: 1/7 + 1/3 + 1/2.
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 7, 3, and 2. The LCM of these numbers is 42.
Step 2: Convert the Fractions
Next, we need to convert each fraction to have a denominator of 42:
- 1/7 = 6/42
- 1/3 = 14/42
- 1/2 = 21/42
Step 3: Add the Fractions
Now, we can add the fractions:
6/42 + 14/42 + 21/42 = 41/42
Result
The simplified fraction is:
41/42
Therefore, the result of 1/7 + 1/3 + 1/2 as a fraction is 41/42.
