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:
[tex]5\frac{1}{3}+x=2\frac{1}{2}[/tex]
[tex]=\frac{16}{3} +x=\frac{5}{2}[/tex]
Subtracting both sides from 16/3 we get:
[tex]x=\frac{5}{2}- \frac{16}{3}[/tex]
Now, the least common denominator of 2 and 3 is 6.
So, we using this we calculate:
[tex]x=\frac{5\times 3-16\times 2}{6}[/tex]
[tex]x=\frac{15-32}{6}[/tex]
[tex]x=\frac{-17}{6}[/tex]
Therefore, the answer is x = -17/6.
