Adding Fractions: 2/5 + 3/10
When it comes to adding fractions, it's essential to have a solid understanding of the concept and the steps involved. In this article, we'll explore how to add two fractions, specifically 2/5 and 3/10, and simplify the result as a fraction.
Step 1: Find the Least Common Multiple (LCM)
To add fractions, we need to find the least common multiple (LCM) of the denominators, which are 5 and 10 in this case. The LCM of 5 and 10 is 10. Therefore, we can convert both fractions to have a denominator of 10:
- 2/5 = 4/10 (multiply numerator and denominator by 2)
- 3/10 = 3/10 (no change needed)
Step 2: Add the Fractions
Now that we have both fractions with the same denominator, we can add them:
4/10 + 3/10 = 7/10
The Result
The result of adding 2/5 and 3/10 is 7/10.
Conclusion
In conclusion, adding fractions requires finding the least common multiple of the denominators and converting both fractions to have the same denominator. By following these steps, we can add 2/5 and 3/10 to get the simplified result of 7/10.
