Adding Fractions: 3/10 + 2/5
When it comes to adding fractions, one of the most important things to remember is that the denominators, or the numbers of parts, must be the same. In this case, we want to add 3/10 and 2/5. Let's break it down step by step.
Step 1: Find the Least Common Multiple (LCM)
To add these fractions, we need to find the least common multiple (LCM) of 10 and 5. The LCM is the smallest number that both 10 and 5 can divide into evenly.
The multiples of 10 are: 10, 20, 30, 40, 50, ... The multiples of 5 are: 5, 10, 15, 20, 25, ...
As we can see, the first number that appears in both lists is 10. Therefore, the LCM of 10 and 5 is 10.
Step 2: Convert 2/5 to have a denominator of 10
Now that we know the LCM is 10, we need to convert 2/5 to have a denominator of 10. To do this, we can multiply both the numerator (2) and the denominator (5) by 2.
2/5 = (2 × 2)/(5 × 2) = 4/10
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them.
3/10 + 4/10 = (3 + 4)/10 = 7/10
Answer: 7/10
Therefore, the result of adding 3/10 and 2/5 as a fraction is 7/10.
