What is the answer to 1/x =(3.55)/(5.5) ?

The answer to 1/x =(3.55)/(5.5) is x= 110/71

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1/x =(3.55)/(5.5)

\frac{1}{x} = \frac{3.55}{5.5}

x = \frac{110}{71}

Decimal Notation

x = 1.54929 \dots

Solution steps

\frac{1}{x} = \frac{3.55}{5.5}

Cross multiply

5.5 = x \cdot 3.55

Switch sides

x \cdot 3.55 = 5.5

Multiply both sides by

100

355 x = 550

Divide both sides by

355

x = \frac{110}{71}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{110}{71}

4 x^{3} (4 x^{- 3}) = 4

1 - \frac{x ^{2} - x - 2}{x ^{2} + 2 x} = 0

80 = \frac{90}{x}

y, x = \frac{y - 5}{2 y + 3}

\frac{2 x ( 4 - x ) - 1}{2 - 54 - x} = 0

What is the answer to 1/x =(3.55)/(5.5) ?
The answer to 1/x =(3.55)/(5.5) is x= 110/71
Solve for x: 1/x =(3.55)/(5.5)
The solution is x= 110/71