Simplifying Fractions: 3/10 + 1/3
In this article, we will explore how to simplify the fraction 3/10 + 1/3.
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 10 and 3. The multiples of 10 are 10, 20, 30, 40, ... and the multiples of 3 are 3, 6, 9, 12, ... The first number that appears in both lists is 30, so the LCM is 30.
Step 2: Convert the Fractions to Have the LCM as the Denominator
Now, we need to convert both fractions to have a denominator of 30:
- 3/10 = 9/30 (multiply numerator and denominator by 3)
- 1/3 = 10/30 (multiply numerator and denominator by 10)
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them:
9/30 + 10/30 = 19/30
Simplified Answer
So, the simplified answer is:
19/30
Therefore, 3/10 + 1/3 simplified is equal to 19/30.
