Simplifying Fractions: 2/3 - 3/5
In this article, we will simplify the subtraction of two fractions: 2/3 - 3/5.
Understanding Fractions
Before we dive into the simplification process, let's quickly review what fractions are. A fraction represents a part of a whole, consisting of a numerator (the top number) and a denominator (the bottom number). In our case, we have two fractions: 2/3 and 3/5.
Subtracting Fractions
To subtract fractions, we need to follow a few steps:
- Find the least common multiple (LCM) of the denominators. In this case, the LCM of 3 and 5 is 15.
- Convert both fractions to have a denominator of 15:
- 2/3 = (2 * 5) / (3 * 5) = 10/15
- 3/5 = (3 * 3) / (5 * 3) = 9/15
- Subtract the fractions:
- 10/15 - 9/15 = 1/15
Simplifying the Result
The result of the subtraction is 1/15. This fraction is already in its simplest form, so we don't need to simplify it further.
Conclusion
In conclusion, the simplified result of 2/3 - 3/5 is 1/15. We hope this article has helped you understand the process of subtracting fractions and simplifying the result.
