Convert ligne to shaku(尺)

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

Calculation Breakdown

Set up the equation

1.0 (l i g n e) = x (s h a k u (尺))

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

(m e t e r)

Left side: 1.0 (l i g n e) = \frac{0.2233275}{99.0} (m e t e r) = \frac{0.2233275}{99.0} (m)

Right 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)

Insert known values into the conversion equation to determine

x

1.0 (l i g n e) = x (s h a k u (尺))

Insert known values =>

1.0 \times \frac{0.2233275}{99.0} \times (m e t e r) = x \times \frac{10.0}{33.0} \times (m e t e r)

Or

1.0 \cdot \frac{0.2233275}{99.0} \cdot (m) = x \cdot \frac{10.0}{33.0} \cdot (m)

Cancel SI units

1.0 \times \frac{0.2233275}{99.0} \cdot (m) = x \times \frac{10.0}{33.0} \times (m)

Conversion Equation

\frac{0.2233275}{99.0} = x \times \frac{10.0}{33.0}

Switch sides

x \times \frac{10.0}{33.0} = \frac{0.2233275}{99.0}

Isolate

x

Multiply both sides by

(\frac{33.0}{10.0})

x \times \frac{10.0}{33.0} \times \frac{33.0}{10.0} = \frac{0.2233275}{99.0} \times \frac{33.0}{10.0}

Cancel

x \times \frac{10.0 \times 33.0}{33.0 \times 10.0} = \frac{0.2233275 \times 33.0}{99.0 \times 10.0}

Simplify

x = \frac{0.2233275 \times 33.0}{99.0 \times 10.0}

Solve

x

x = 0.00744425 \approx 7.4442 \times 10^{- 3}

Conversion Equation

1.0 (l i g n e) \approx 7.4442 \times 10^{- 3} (s h a k u (尺))

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