Question

What is 1/4=1/12+1/z

Answer 1

`\boxed {z = 6}`

Explanation:

Solve for the value of
`z`:

`(1)/(4) = (1)/(12) + (1)/(z)`

-The variable
`z` cannot equal to
`0` since division by zero is undefined. SO, you multiply both sides by
`12z`, which is the least common multiple of
`4`,
`12`, and
`z`:

`3z = 12z * ((1)/(12)) + 12`

`3z = z + 12`

-Take
`-z` and subtract it from
`3z`:

`3z - z = z - z + 12`

`2z = 12`

-Divide both sides by
`2`:

`(2z)/(2) = (12)/(2)`

`\boxed {z = 6}`

So, the value of
`z` of
`6`.