Simplifying Fractions: 3/5 + 3/10
When working with fractions, it's essential to know how to simplify them to get the most accurate results. In this article, we'll dive into the process of simplifying the fraction 3/5 + 3/10.
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. To do this, we can list the multiples of each denominator:
Multiples of 5: 5, 10, 15, 20, ... Multiples of 10: 10, 20, 30, 40, ...
The first number that appears in both lists is 10, which means the LCM is 10.
Step 2: Convert the Fractions to Have the Same Denominator
Now that we have the LCM, we can convert both fractions to have a denominator of 10:
3/5 = 6/10 (multiply numerator and denominator by 2) 3/10 = 3/10 (no change needed)
Step 3: Add the Fractions
With the same denominator, we can add the fractions:
6/10 + 3/10 = 9/10
The Simplified Answer
Therefore, the simplified result of 3/5 + 3/10 is 9/10.
