Question

How do you solve `1/4t-1/6=-4/9`?

Answer 1

`t = -20/18`

Explanation:

First put the `1/6` on the other side so that `t` is on its own.

`1/4 t = -4/9 + 1/6`

Find a common denominator, 18, so that the two fractions can be added together.

`1/4 t = (-8 + 3)/18 -> -5/18`

`t/4 = -5/18`

`18t = -20`

`t = -20/18`

Answer 2

`t=-10/9`

Explanation:

First, bring the constants (a number on its own) to the right-hand side in order to isolate `t`. We end up with `t` on the left-hand side and the constants on the right-hand side. If we bring `-1/6` over, we have to do the inverse operation. In this case, we do
addition like this:

`t/4-1/6=-1/9`
`t/4=-1/9+1/6`
`t/4=-5/18`

We can then cross multiply which is when we multiply the denominators and numerators that are diagonal to each other, like this:

`t*18=-5*4`
`18t=-20`

All we have to do is to divide each side by 18 to get `t` by itself.

`(18t)/18=-20/18`
`t=-10/9`

Hope this helps you, mate.