Can anyone explain the method for algebraic fraction? We have to do it for maths, and i'm really struggling with it. Here is an example question for what i'm doing. (x…

Question

Can anyone explain the method for algebraic fraction? We have to do it for maths, and i'm really struggling with it. Here is an example question for what i'm doing.


`(x+1)/(2)` +
`(x+2)/(5)` = 3 I need to find x
If you could do a detailed explanation on how to reach the answer that would be perfect.

Answer 1

x=3

Explanation:

The approach is not very different from regular fractions.

You have to get to a common denominator to be able to add them.

10 is a good denominator (multiply the denominators).

multiply the first term by 5, and the second one by 2:

`(5 \cdot (x+1))/(5 \cdot 2) + (2 \cdot (x+2))/(2 \cdot 5) = 3`

`(5x+5 + 2x+4)/(10) = 3`

`(7x+9)/(10) = 3`

7x + 9 = 30

7x = 30 - 9

x = 3

let me know if you need more details on one of the steps