Adding Fractions: 1/5 + 3/10
In this article, we will learn how to add two fractions, 1/5 and 3/10, and simplify the result.
Step 1: Find the Least Common Multiple (LCM)
To add these two fractions, we need to find the least common multiple (LCM) of their denominators, which are 5 and 10. The LCM of 5 and 10 is 10.
Step 2: Convert the Fractions
We need to convert both fractions to have a denominator of 10.
- 1/5 = 2/10 (multiply numerator and denominator by 2)
- 3/10 = 3/10 (no change needed)
Step 3: Add the Fractions
Now we can add the two fractions:
2/10 + 3/10 = 5/10
Step 4: Simplify the Result
The resulting fraction, 5/10, can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD), which is 5.
5/10 = 1/2
Therefore, the result of adding 1/5 and 3/10 is 1/2.
