Simplifying Fractions: 1/5 + 2/6 as a Fraction
When working with fractions, it's essential to understand how to add and simplify them. In this article, we'll explore how to add 1/5 and 2/6 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 5 and 6. The LCM of 5 and 6 is 30. Therefore, we'll convert both fractions to have a denominator of 30.
Step 2: Convert the Fractions
Convert 1/5 to have a denominator of 30
To convert 1/5 to have a denominator of 30, we'll multiply both the numerator and denominator by 6:
1 × 6 = 6 5 × 6 = 30
So, 1/5 is equal to 6/30.
Convert 2/6 to have a denominator of 30
To convert 2/6 to have a denominator of 30, we'll multiply both the numerator and denominator by 5:
2 × 5 = 10 6 × 5 = 30
So, 2/6 is equal to 10/30.
Step 3: Add the Fractions
Now that both fractions have a denominator of 30, we can add them:
6/30 + 10/30 = 16/30
Step 4: Simplify the Fraction
The resulting fraction is 16/30. To simplify it, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2:
16 ÷ 2 = 8 30 ÷ 2 = 15
So, 1/5 + 2/6 as a fraction is equal to 8/15.
In conclusion, adding 1/5 and 2/6 as a fraction results in a simplified fraction of 8/15.
