Convert jo(丈) to li(公里)

Learn how to convert 1 jo(丈) to li(公里) step by step.

Calculation Breakdown

Set up the equation

1.0 (j o (丈)) = x (l i (公 里))

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

(m e t e r)

Left side: 1.0 (j o (丈)) = \frac{10^{2}}{33.0} (m e t e r) = \frac{10^{2}}{33.0} (m)

Right side: 1.0 (l i (公 里)) = 10^{3} (m e t e r) = 10^{3} (m)

Insert known values into the conversion equation to determine

x

1.0 (j o (丈)) = x (l i (公 里))

Insert known values =>

1.0 \times \frac{10^{2}}{33.0} \times (m e t e r) = x \times 10^{3} \times (m e t e r)

Or

1.0 \cdot \frac{10^{2}}{33.0} \cdot (m) = x \cdot 10^{3} \cdot (m)

Cancel SI units

1.0 \times \frac{10^{2}}{33.0} \cdot (m) = x \times 10^{3} \times (m)

Conversion Equation

\frac{10^{2}}{33.0} = x \times 10^{3}

Cancel factors on both sides

Cancel factors

\frac{10^{2}}{33.0} = x \times {10^{3}}^{10}

Switch sides

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

Isolate

x

Multiply both sides by

(\frac{1.0}{10.0})

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

Cancel

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

Simplify

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

Solve

x

x \approx 0.003030303 \approx 3.0303 \times 10^{- 3}

Conversion Equation

1.0 (j o (丈)) \approx 3.0303 \times 10^{- 3} (l i (公 里))

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