Convert fathom to mile

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

Calculation Breakdown

Set up the equation

1.0 (f a t h o m) = x (m i l e)

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 l e) = 1609.344 (m e t e r) = 1609.344 (m)

Insert known values into the conversion equation to determine

x

1.0 (f a t h o m) = x (m i l e)

Insert known values =>

1.0 \times 1.8288 \times (m e t e r) = x \times 1609.344 \times (m e t e r)

Or

1.0 \cdot 1.8288 \cdot (m) = x \cdot 1609.344 \cdot (m)

Cancel SI units

1.0 \times 1.8288 \cdot (m) = x \times 1609.344 \times (m)

Conversion Equation

1.8288 = x \times 1609.344

Switch sides

x \times 1609.344 = 1.8288

Isolate

x

Multiply both sides by

(\frac{1.0}{1609.344})

x \times 1609.344 \times \frac{1.0}{1609.344} = 1.8288 \times \frac{1.0}{1609.344}

Cancel

x \times 1609.344 \times \frac{1.0}{1609.344} = 1.8288 \times \frac{1.0}{1609.344}

Simplify

x = \frac{1.8288}{1609.344}

Solve

x

x \approx 0.0011363636 \approx 1.1364 \times 10^{- 3}

Conversion Equation

1.0 (f a t h o m) \approx 1.1364 \times 10^{- 3} (m i l e)

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