What is the answer to 1/((1+1/X))=1.33 ?

The answer to 1/((1+1/X))=1.33 is X=-133/33

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1/((1+1/X))=1.33

\frac{1}{( 1 + \frac{1}{X} )} = 1.33

X = - \frac{133}{33}

Decimal Notation

X = - 4.03030 \dots

Solution steps

\frac{1}{( 1 + \frac{1}{X} )} = 1.33

Simplify

\frac{1}{1 + \frac{1}{X}} : \frac{X}{X + 1}

\frac{X}{X + 1} = 1.33

Multiply both sides by

X + 1

X = 1.33 (X + 1)

Multiply both sides by

100

X \cdot 100 = 133 (X + 1)

Expand

133 (X + 1) : 133 X + 133

X \cdot 100 = 133 X + 133

Move

133 X

to the left side

- 33 X = 133

Divide both sides by

- 33

X = - \frac{133}{33}

Verify Solutions

Find undefined (singularity) points:

X = - 1, X = 0

Combine undefined points with solutions:

X = - \frac{133}{33}

n, \frac{m}{n} = p - 6

- 50 = \frac{50625}{2 x ^{2}}

3125 = b^{- 5}

\frac{3}{9} = \frac{4}{p}

\frac{t - 40}{t - 15} = 0.92871

What is the answer to 1/((1+1/X))=1.33 ?
The answer to 1/((1+1/X))=1.33 is X=-133/33
Solve for X: 1/((1+1/X))=1.33
The solution is X=-133/33