Convert cable length to ri(里)

Learn how to convert 1 cable length to ri(里) step by step.

Calculation Breakdown

Set up the equation

1.0 (c a b l e l e n g t h) = x (r i (里))

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

(m e t e r)

Left side: 1.0 (c a b l e l e n g t h) = 185.2 (m e t e r) = 185.2 (m)

Right side: 1.0 (r i (里)) = \frac{4.32 \times 10^{4}}{11.0} (m e t e r) = \frac{4.32 \times 10^{4}}{11.0} (m)

Insert known values into the conversion equation to determine

x

1.0 (c a b l e l e n g t h) = x (r i (里))

Insert known values =>

1.0 \times 185.2 \times (m e t e r) = x \times \frac{4.32 \times 10^{4}}{11.0} \times (m e t e r)

Or

1.0 \cdot 185.2 \cdot (m) = x \cdot \frac{4.32 \times 10^{4}}{11.0} \cdot (m)

Cancel SI units

1.0 \times 185.2 \cdot (m) = x \times \frac{4.32 \times 10^{4}}{11.0} \times (m)

Conversion Equation

185.2 = x \times \frac{4.32 \times 10^{4}}{11.0}

Switch sides

x \times \frac{4.32 \times 10^{4}}{11.0} = 185.2

Isolate

x

Multiply both sides by

(\frac{11.0}{4.32 \times 10^{4}})

x \times \frac{4.32 \times 10^{4}}{11.0} \times \frac{11.0}{4.32 \times 10^{4}} = 185.2 \times \frac{11.0}{4.32 \times 10^{4}}

Cancel

x \times \frac{4.32 \times 10^{4} \times 11.0}{11.0 \times 4.32 \times 10^{4}} = 185.2 \times \frac{11.0}{4.32 \times 10^{4}}

Simplify

x = \frac{185.2 \times 11.0}{4.32 \times 10^{4}}

Rewrite equation

\frac{1.0}{10^{4}} can be rewritten to 10^{- 4}

Rewrite

x = \frac{10^{- 4} \times 185.2 \times 11.0}{4.32}

Solve

x

x \approx 0.0471574074 \approx 4.7157 \times 10^{- 2}

Conversion Equation

1.0 (c a b l e l e n g t h) \approx 4.7157 \times 10^{- 2} (r i (里))

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