Adding Fractions: 1/6 + 1/4 + 1/8
In this article, we will learn how to add three fractions: 1/6, 1/4, and 1/8. Adding fractions can be a bit tricky, but with the right steps, you'll be able to do it like a pro!
Step 1: Find the Least Common Multiple (LCM)
The first step is to find the least common multiple (LCM) of the denominators of the three fractions. The denominators are 6, 4, and 8.
To find the LCM, we need to list the multiples of each denominator:
- Multiples of 6: 6, 12, 18, 24, ...
- Multiples of 4: 4, 8, 12, 16, ...
- Multiples of 8: 8, 16, 24, 32, ...
The first number that appears in all three lists is 24. Therefore, the LCM is 24.
Step 2: Convert Each Fraction to Have a Denominator of 24
Now that we have the LCM, we need to convert each fraction to have a denominator of 24:
- 1/6 = 4/24 (multiply numerator and denominator by 4)
- 1/4 = 6/24 (multiply numerator and denominator by 6)
- 1/8 = 3/24 (multiply numerator and denominator by 3)
Step 3: Add the Fractions
Now that we have converted each fraction to have a denominator of 24, we can add them:
4/24 + 6/24 + 3/24 = 13/24
The Answer
The sum of 1/6, 1/4, and 1/8 is 13/24.
Remember, when adding fractions, the key is to find the least common multiple of the denominators and then convert each fraction to have that denominator. With these steps, you'll be able to add fractions with ease!
