Adding Fractions: 2/8 + 2/3 as a Fraction
In this article, we will explore how to add two fractions, specifically 2/8 and 2/3, and simplify the result as a single fraction.
Step 1: Convert 2/8 to a Common Denominator
To add these two fractions, we need to find a common denominator. The least common multiple (LCM) of 8 and 3 is 24. So, we will convert 2/8 to an equivalent fraction with a denominator of 24.
2/8 = 6/24
Step 2: Add the Fractions
Now that we have converted 2/8 to a common denominator, we can add the two fractions.
2/3 = 16/24
6/24 + 16/24 = 22/24
Step 3: Simplify the Result
Finally, we can simplify the result by dividing both the numerator and the denominator by their greatest common divisor (GCD).
22 ÷ 2 = 11 24 ÷ 2 = 12
22/24 = 11/12
Therefore, the result of adding 2/8 and 2/3 as a fraction is:
2/8 + 2/3 = 11/12
In conclusion, we have successfully added two fractions and simplified the result as a single fraction. This process can be applied to any pair of fractions with different denominators.
