add and simplify
1. a^2/2 + 3a^2/8
2. 4c/15 + 8c/25
i need help can someone explain please
4 a^2/8 + 3 a^2/8 = 7 a^2/8
15*5 = 75 and 25*3 = 75
so
5/5 * 4 c/15 + 3/3 * 8 c/25
20 c/75 + 24 c/75 = 44 c/75
Thanks!
Certainly! To add and simplify expressions like these, you'll need to find a common denominator.
Let's start with the first expression:
1. a^2/2 + 3a^2/8
To find the common denominator, you need to find the least common multiple (LCM) of the denominators. In this case, the denominators are 2 and 8. The LCM of 2 and 8 is 8.
Now, rewrite the fractions using the common denominator:
a^2/2 = (a^2 * 4)/8
3a^2/8 = (3a^2 * 1)/8
Now, you can add the fractions:
(a^2 * 4)/8 + (3a^2 * 1)/8 = (4a^2 + 3a^2)/8 = 7a^2/8
So, the simplified form of the expression 1. is 7a^2/8.
Now, let's move on to the second expression:
2. 4c/15 + 8c/25
To find the common denominator, you need to find the LCM of 15 and 25. The LCM of 15 and 25 is 75.
Now, rewrite the fractions using the common denominator:
4c/15 = (4c * 5)/75
8c/25 = (8c * 3)/75
Now, add the fractions:
(4c * 5)/75 + (8c * 3)/75 = (20c + 24c)/75 = 44c/75
So, the simplified form of the expression 2. is 44c/75.
I hope this helps! Let me know if you have any further questions.