Simplified Fraction: 2/3 - 1/5
In this article, we will discuss how to simplify the fraction 2/3 - 1/5.
Step 1: Find the Least Common Multiple (LCM)
To subtract fractions, we need to find the least common multiple (LCM) of the denominators, which are 3 and 5. The LCM of 3 and 5 is 15.
Step 2: Convert the Fractions
We need to convert both fractions to have a denominator of 15.
- 2/3 = (2 x 5) / (3 x 5) = 10/15
- 1/5 = (1 x 3) / (5 x 3) = 3/15
Step 3: Subtract the Fractions
Now, we can subtract the fractions:
10/15 - 3/15 = (10 - 3) / 15 = 7/15
Simplified Answer
Therefore, the simplified fraction is:
7/15
We have successfully simplified the fraction 2/3 - 1/5 to 7/15.
