Convert fathom to chain

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

Calculation Breakdown

Set up the equation

1.0 (f a t h o m) = x (c h a i 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 (c h a i n) = 20.1168 (m e t e r) = 20.1168 (m)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 1.8288 \times (m e t e r) = x \times 20.1168 \times (m e t e r)

Or

1.0 \cdot 1.8288 \cdot (m) = x \cdot 20.1168 \cdot (m)

Cancel SI units

1.0 \times 1.8288 \cdot (m) = x \times 20.1168 \times (m)

Conversion Equation

1.8288 = x \times 20.1168

Switch sides

x \times 20.1168 = 1.8288

Isolate

x

Multiply both sides by

(\frac{1.0}{20.1168})

x \times 20.1168 \times \frac{1.0}{20.1168} = 1.8288 \times \frac{1.0}{20.1168}

Cancel

x \times 20.1168 \times \frac{1.0}{20.1168} = 1.8288 \times \frac{1.0}{20.1168}

Simplify

x = \frac{1.8288}{20.1168}

Solve

x

x \approx 0.0909090909 \approx 9.0909 \times 10^{- 2}

Conversion Equation

1.0 (f a t h o m) \approx 9.0909 \times 10^{- 2} (c h a i n)

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