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raketka [301]
3 years ago
15

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

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

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.

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