Convert li(厘) to virgate

Learn how to convert 1 li(厘) to virgate step by step.

Calculation Breakdown

Set up the equation

1.0 (l i (厘)) = x (v i r g a t e)

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

(s q u a r e m e t e r)

Left side: 1.0 (l i (厘)) = \frac{20.0}{3.0} (s q u a r e m e t e r) = \frac{20.0}{3.0} (m^{2})

Right side: 1.0 (v i r g a t e) = 1.2 \times 10^{5} (s q u a r e m e t e r) = 1.2 \times 10^{5} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (l i (厘)) = x (v i r g a t e)

Insert known values =>

1.0 \times \frac{20.0}{3.0} \times (s q u a r e m e t e r) = x \times 1.2 \times 10^{5} \times (s q u a r e m e t e r)

Or

1.0 \cdot \frac{20.0}{3.0} \cdot (m^{2}) = x \cdot 1.2 \times 10^{5} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{20.0}{3.0} \cdot (m^{2}) = x \times 1.2 \times 10^{5} \times (m^{2})

Conversion Equation

\frac{20.0}{3.0} = x \times 1.2 \times 10^{5}

Switch sides

x \times 1.2 \times 10^{5} = \frac{20.0}{3.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.2 \times 10^{5}})

x \times 1.2 \times 10^{5} \times \frac{1.0}{1.2 \times 10^{5}} = \frac{20.0}{3.0} \times \frac{1.0}{1.2 \times 10^{5}}

Cancel

x \times 1.2 \times 10^{5} \times \frac{1.0}{1.2 \times 10^{5}} = \frac{20.0 \times 1.0}{3.0 \times 1.2 \times 10^{5}}

Simplify

x = \frac{20.0}{3.0 \times 1.2 \times 10^{5}}

Rewrite equation

\frac{1.0}{10^{5}} can be rewritten to 10^{- 5}

Rewrite

x = \frac{10^{- 5} \times 20.0}{3.0 \times 1.2}

Solve

x

x \approx 0.0000555556 \approx 5.5556 \times 10^{- 5}

Conversion Equation

1.0 (l i (厘)) \approx 5.5556 \times 10^{- 5} (v i r g a t e)

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