What is the answer to 1/6+1/8 = 1/x ?

The answer to 1/6+1/8 = 1/x is x= 24/7

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1/6+1/8 = 1/x

\frac{1}{6} + \frac{1}{8} = \frac{1}{x}

x = \frac{24}{7}

Decimal

x = 3.42857 \dots

Solution steps

\frac{1}{6} + \frac{1}{8} = \frac{1}{x}

Multiply both sides by

x

\frac{7}{24} x = 1

Multiply both sides by

24

7 x = 24

Divide both sides by

7

x = \frac{24}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{24}{7}

\frac{4 x - 5}{7 x} = 3

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

\frac{7}{x - 4} - \frac{6}{x - 2} = 2

\frac{x ^{2} + 3 x - 18}{6 x} = \frac{2 - 3 x}{3}

t, y = \frac{t - a}{t + 3}