If you want to add 2/3 and 3/5, you will find the LCM of the denominators then divide the LCM of the denominators and multiply it with the numerators then add it...
Thavedrya
If you want to add 2/3 and 3/5, you will find the LCM of the denominators then divide the LCM by the denominators and multiply it with the numerators then add it...
i.e.
2/3 + 3/5 , LCM = 15
15/3 x 2 = 10
15/5 x 3 = 9
2/3 + 3/5
= 10/15 + 9/15
= 19/15 or 1 4/15
To add fractions like 2/3 and 3/5, you can follow these steps:
Step 1: Find the least common multiple (LCM) of the denominators, which in this case is 15. The LCM is the smallest number that both 3 and 5 can divide into evenly.
Step 2: Divide the LCM by each denominator and multiply the result by the corresponding numerator. This step helps to make both fractions have the same denominator, which is the LCM.
For 2/3:
(15 ÷ 3) x 2 = 10/15
For 3/5:
(15 ÷ 5) x 3 = 9/15
Now, both fractions have the same denominator of 15.
Step 3: Add the numerators together, keeping the same denominator.
10/15 + 9/15 = (10 + 9)/15 = 19/15
Step 4: Simplify the fraction, if possible. In this case, 19/15 is an improper fraction because the numerator is larger than the denominator. You can rewrite it as a mixed number:
19 ÷ 15 = 1 remainder 4
So, the simplified fraction is 1 and 4/15.
So, adding 2/3 and 3/5 yields the fraction 1 and 4/15.