What is the answer to 1/4+1/6 = 1/x ?

The answer to 1/4+1/6 = 1/x is x= 12/5

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1/4+1/6 = 1/x

\frac{1}{4} + \frac{1}{6} = \frac{1}{x}

x = \frac{12}{5}

Decimal

x = 2.4

Solution steps

\frac{1}{4} + \frac{1}{6} = \frac{1}{x}

Multiply both sides by

x

\frac{5}{12} x = 1

Multiply both sides by

12

5 x = 12

Divide both sides by

5

x = \frac{12}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{12}{5}

\frac{4}{5 x + 2} - \frac{12}{15 x + 6} = 0

x - \frac{3 x}{x - 8} = 3

\frac{4}{x} + 1 = \frac{2 x + 2}{x}

\frac{x}{x - 6} + \frac{x + 2}{x - 6} = 6

u, \frac{1}{u} + \frac{1}{v} = \frac{1}{f}