Adding Fractions: 1/5 + 3/4
When it comes to adding fractions, it can be a bit tricky, but with the right steps, you can master this skill. In this article, we will explore how to add 1/5 and 3/4.
Step 1: Find the Least Common Multiple (LCM)
To add fractions, we need to find the least common multiple (LCM) of the denominators. In this case, the denominators are 5 and 4.
The multiples of 5 are: 5, 10, 15, 20, ...
The multiples of 4 are: 4, 8, 12, 16, ...
The first number that appears in both lists is 20. Therefore, the LCM of 5 and 4 is 20.
Step 2: Convert the Fractions
Now, we need to convert both fractions to have a denominator of 20.
1/5 = 4/20 (multiply numerator and denominator by 4) 3/4 = 15/20 (multiply numerator and denominator by 5)
Step 3: Add the Fractions
Now that we have both fractions with the same denominator, we can add them:
4/20 + 15/20 = 19/20
Therefore, the result of adding 1/5 and 3/4 is 19/20.
By following these simple steps, you can add fractions with different denominators. Remember to always find the least common multiple, convert the fractions, and then add them.