Simplifying the Expression: 3/8 + 1/3 + 1/6 as a Fraction
In this article, we will simplify the expression 3/8 + 1/3 + 1/6 as a fraction.
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 8, 3, and 6.
The LCM of 8, 3, and 6 is 24.
Step 2: Convert Each Fraction to Have a Denominator of 24
Now, we will convert each fraction to have a denominator of 24:
- 3/8 = (3 x 3) / (8 x 3) = 9/24
- 1/3 = (1 x 8) / (3 x 8) = 8/24
- 1/6 = (1 x 4) / (6 x 4) = 4/24
Step 3: Add the Fractions
Now that we have converted each fraction to have a denominator of 24, we can add them:
9/24 + 8/24 + 4/24 = 21/24
The Simplified Expression
Therefore, the simplified expression for 3/8 + 1/3 + 1/6 as a fraction is:
21/24
This is the final answer.
