What is the answer to 1/4+1/5 = 1/x ?

The answer to 1/4+1/5 = 1/x is x= 20/9

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1/4+1/5 = 1/x

\frac{1}{4} + \frac{1}{5} = \frac{1}{x}

x = \frac{20}{9}

Decimal

x = 2.22222 \dots

Solution steps

\frac{1}{4} + \frac{1}{5} = \frac{1}{x}

Multiply both sides by

x

\frac{9}{20} x = 1

Multiply both sides by

20

9 x = 20

Divide both sides by

9

x = \frac{20}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{20}{9}

r, θ = \frac{p}{p + r}

y, x = y^{- 1}

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

\frac{2 x}{x ^{2} - 4} = 0

\frac{9}{2} = \frac{7 x - 8}{x + 1}