What is the answer to 1/3+1/4 = 1/x ?

The answer to 1/3+1/4 = 1/x is x= 12/7

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1/3+1/4 = 1/x

\frac{1}{3} + \frac{1}{4} = \frac{1}{x}

x = \frac{12}{7}

Decimal Notation

x = 1.71428 \dots

Solution steps

\frac{1}{3} + \frac{1}{4} = \frac{1}{x}

Multiply both sides by

x

\frac{7}{12} x = 1

Multiply both sides by

12

7 x = 12

Divide both sides by

7

x = \frac{12}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{12}{7}

0.015 = 0.016 \times \frac{0.6}{x}

y, x = \frac{1}{y} - 2

5 = \frac{3 x}{( x - 2 )}

\frac{60}{x - 1} = \frac{36}{x - 1} + 12

\frac{x}{x + 4} = \frac{32}{x ^{2} - 16} + 3