Question

How do you solve `1/3+x=5/6`?

Answer 1

I found `x=1/2`

Explanation:

You need to find the value of `x` that makes the left side equal to the right one.
We try solating `x` on one side (left, for example) transferring all the numbers to the right:
`x=5/6color(red)(-1/3)`
notice the change of sign of `1/3` in passing to the right!
We rearrange the right side:
`x=(5-2)/6`
we fnd a common denominator (`6`) and rearrange the numerators to allow the subtraction:
Finally:
`x=3/6=1/2`

You can now test this value putting it into the original equation to see if the left is equal to the right side!