What is the answer to 3/n-1/2 =(n-5)/n ?

The answer to 3/n-1/2 =(n-5)/n is n= 16/3

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3/n-1/2 =(n-5)/n

\frac{3}{n} - \frac{1}{2} = \frac{n - 5}{n}

n = \frac{16}{3}

Decimal Notation

n = 5.33333 \dots

Solution steps

\frac{3}{n} - \frac{1}{2} = \frac{n - 5}{n}

Multiply by LCM

6 - n = 2 n - 10

Move

6

to the right side

- n = 2 n - 16

Move

2 n

to the left side

- 3 n = - 16

Divide both sides by

- 3

n = \frac{16}{3}

Verify Solutions

Find undefined (singularity) points:

n = 0

Combine undefined points with solutions:

n = \frac{16}{3}

x + \frac{6}{x} = 18

\frac{1}{2} + \frac{1}{3} = \frac{1}{x}

\frac{1}{x - 3} - \frac{3}{x ^{2} - 3 x} = 4

0 = 3 x^{2} - \frac{24}{x}

\frac{x}{x - 2} - \frac{9}{2 - x} = 2

What is the answer to 3/n-1/2 =(n-5)/n ?
The answer to 3/n-1/2 =(n-5)/n is n= 16/3
Solve for n: 3/n-1/2 =(n-5)/n
The solution is n= 16/3