Question

What is the solution to the equation?
2/3 a - 1/6 = 1/3

Answer 1

a =
`(3)/(4)`

Explanation:

When working with fractions, I would mostly like to make the denominators the same first.

`(2)/(3)`a -
`(1)/(6)` =
`(1)/(3)`

Make all the denominators 6.

`(4)/(6)`a -
`(1)/(6)` =
`(2)/(6)`

Isolate
`(4)/(6)`a.

`(4)/(6)`a =
`(2)/(6)` +
`(1)/(6)`

=
`(3)/(6)`

Find a.

`(6)/(6)`a =
`(6)/(4)` ×
`(3)/(6)`

a =
`(3)/(4)`