Adding Fractions: 1/2 + 1/3 + 5/6
When working with fractions, adding them together can be a bit tricky. In this article, we will explore how to add the fractions 1/2, 1/3, and 5/6.
Step 1: Find the Least Common Multiple (LCM)
To add these fractions, we need to find the least common multiple (LCM) of their denominators, which are 2, 3, and 6. The LCM of these numbers is 6.
Step 2: Convert the Fractions
Now, we need to convert each fraction to have a denominator of 6.
- 1/2 = 3/6 (multiply numerator and denominator by 3)
- 1/3 = 2/6 (multiply numerator and denominator by 2)
- 5/6 = 5/6 (no change needed)
Step 3: Add the Fractions
Now that we have all the fractions with a denominator of 6, we can add them together:
3/6 + 2/6 + 5/6 = 10/6
Simplifying the Fraction
We can simplify the fraction 10/6 by dividing both the numerator and denominator by their greatest common divisor, which is 2.
10/6 = 5/3
Therefore, the result of adding 1/2, 1/3, and 5/6 is 5/3 in fraction form.
