What is the answer to (n+4)/(4n)= 6/4 ?

The answer to (n+4)/(4n)= 6/4 is n= 4/5

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(n+4)/(4n)= 6/4

\frac{n + 4}{4 n} = \frac{6}{4}

n = \frac{4}{5}

Decimal Notation

n = 0.8

Solution steps

\frac{n + 4}{4 n} = \frac{6}{4}

Cross multiply

4 n + 16 = 24 n

Move

16

to the right side

4 n = 24 n - 16

Move

24 n

to the left side

- 20 n = - 16

Divide both sides by

- 20

n = \frac{4}{5}

Verify Solutions

Find undefined (singularity) points:

n = 0

Combine undefined points with solutions:

n = \frac{4}{5}

\frac{12}{n + 3} = \frac{3}{2}

\frac{2 x}{( x + 1 ) ( x - 1 )} = x

0 = \frac{2 x}{x + 2}

3 - q = \frac{3}{4} + \frac{3}{2 q}

\frac{5 x}{x + 1} = 8 - \frac{5}{x + 1}