Convert fathom to micron

Learn how to convert 1 fathom to micron step by step.

Calculation Breakdown

Set up the equation

1.0 (f a t h o m) = x (m i c r o n)

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (f a t h o m) = 1.8288 (m e t e r) = 1.8288 (m)

Right side: 1.0 (m i c r o n) = 10^{- 6} (m e t e r) = 10^{- 6} (m)

Insert known values into the conversion equation to determine

x

1.0 (f a t h o m) = x (m i c r o n)

Insert known values =>

1.0 \times 1.8288 \times (m e t e r) = x \times 10^{- 6} \times (m e t e r)

Or

1.0 \cdot 1.8288 \cdot (m) = x \cdot 10^{- 6} \cdot (m)

Cancel SI units

1.0 \times 1.8288 \cdot (m) = x \times 10^{- 6} \times (m)

Conversion Equation

1.8288 = x \times 10^{- 6}

Switch sides

x \times 10^{- 6} = 1.8288

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 6}})

x \times 10^{- 6} \times \frac{1.0}{10^{- 6}} = 1.8288 \times \frac{1.0}{10^{- 6}}

Cancel

x \times 10^{- 6} \times \frac{1.0}{10^{- 6}} = 1.8288 \times \frac{1.0}{10^{- 6}}

Simplify

x = \frac{1.8288}{10^{- 6}}

Rewrite equation

\frac{1.0}{10^{- 6}} can be rewritten to 10^{6}

Rewrite

x = 10^{6} \times 1.8288

Solve

x

x = 1828800 = 1.8288 \times 10^{6}

Conversion Equation

1.0 (f a t h o m) = 1.8288 \times 10^{6} (m i c r o n)

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