Simplifying Fraction: 4/6 + 4/8
In this article, we will learn how to simplify the fraction 4/6 + 4/8.
Step 1: Find the Least Common Multiple (LCM)
To add two fractions, we need to find the least common multiple (LCM) of the denominators, which are 6 and 8. The LCM of 6 and 8 is 24.
Step 2: Convert the Fractions to Have the Same Denominator
Now, we need to convert both fractions to have the same denominator, which is 24.
- 4/6 = (4 × 4) / (6 × 4) = 16/24
- 4/8 = (4 × 3) / (8 × 3) = 12/24
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them:
16/24 + 12/24 = (16 + 12) / 24 = 28/24
Step 4: Simplify the Fraction
The fraction 28/24 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4.
28 ÷ 4 = 7 24 ÷ 4 = 6
Therefore, the simplified fraction is:
7/6
And that's it! The result of the fraction 4/6 + 4/8 is 7/6.
