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

The answer to x/(x+1)= 1/4 is x= 1/3

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x/(x+1)= 1/4

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

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

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

Cross multiply

x \cdot 4 = x + 1

Move

x

to the left side

3 x = 1

Divide both sides by

3

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{1}{3}

\frac{6}{3 x} + \frac{10}{3 x} = 256

\frac{z + 8}{z - 9} = \frac{11}{- 7}

x, F = \frac{- K}{x ^{2}}

\frac{5 - x}{x} = 0

\frac{3}{x} = 1.5