Answer:
The answer is x = -17/6.
Step-by-step explanation:
Given:
5 1/3 + x = 2 1/2 . Using least common denominator.
Now, to solve the equation:
![5\frac{1}{3}+x=2\frac{1}{2}](https://tex.z-dn.net/?f=5%5Cfrac%7B1%7D%7B3%7D%2Bx%3D2%5Cfrac%7B1%7D%7B2%7D)
![=\frac{16}{3} +x=\frac{5}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B16%7D%7B3%7D%20%2Bx%3D%5Cfrac%7B5%7D%7B2%7D)
Subtracting both sides from 16/3 we get:
![x=\frac{5}{2}- \frac{16}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%7D%7B2%7D-%20%5Cfrac%7B16%7D%7B3%7D)
Now, the least common denominator of 2 and 3 is 6.
So, we using this we calculate:
![x=\frac{5\times 3-16\times 2}{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Ctimes%203-16%5Ctimes%202%7D%7B6%7D)
![x=\frac{-17}{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-17%7D%7B6%7D)
Therefore, the answer is x = -17/6.