Question

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

Answer 1

Answer:

$\boxed {z = 6}$

Step-by-step explanation:

Solve for the value of $z$:

$\frac{1}{4} = \frac{1}{12} + \frac{1}{z}$

-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 $z$:

$3z = 12z \times (\frac{1}{12}) + 12$

$3z = z + 12$

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

$3z - z = z - z + 12$

$2z = 12$

-Divide both sides by $2$:

$\frac{2z}{2} = \frac{12}{2}$

$\boxed {z = 6}$

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