Convert shaku(尺) to fathom

Learn how to convert 1 shaku(尺) to fathom step by step.

Calculation Breakdown

Set up the equation

1.0 (s h a k u (尺)) = x (f a t h o m)

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

(m e t e r)

Left side: 1.0 (s h a k u (尺)) = \frac{10.0}{33.0} (m e t e r) = \frac{10.0}{33.0} (m)

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

Insert known values into the conversion equation to determine

x

1.0 (s h a k u (尺)) = x (f a t h o m)

Insert known values =>

1.0 \times \frac{10.0}{33.0} \times (m e t e r) = x \times 1.8288 \times (m e t e r)

Or

1.0 \cdot \frac{10.0}{33.0} \cdot (m) = x \cdot 1.8288 \cdot (m)

Cancel SI units

1.0 \times \frac{10.0}{33.0} \cdot (m) = x \times 1.8288 \times (m)

Conversion Equation

\frac{10.0}{33.0} = x \times 1.8288

Switch sides

x \times 1.8288 = \frac{10.0}{33.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.8288})

x \times 1.8288 \times \frac{1.0}{1.8288} = \frac{10.0}{33.0} \times \frac{1.0}{1.8288}

Cancel

x \times 1.8288 \times \frac{1.0}{1.8288} = \frac{10.0 \times 1.0}{33.0 \times 1.8288}

Simplify

x = \frac{10.0}{33.0 \times 1.8288}

Solve

x

x \approx 0.1656989846 \approx 1.657 \times 10^{- 1}

Conversion Equation

1.0 (s h a k u (尺)) \approx 1.657 \times 10^{- 1} (f a t h o m)

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