Convert li(厘) to gauge

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

Calculation Breakdown

Set up the equation

1.0 (l i (厘)) = x (g a u g e)

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 (厘)) = \frac{1.0}{3.0 \times 10^{3}} (m e t e r) = \frac{1.0}{3.0 \times 10^{3}} (m)

Right side: 1.0 (g a u g e) = 1.435 (m e t e r) = 1.435 (m)

Insert known values into the conversion equation to determine

x

1.0 (l i (厘)) = x (g a u g e)

Insert known values =>

1.0 \times \frac{1.0}{3.0 \times 10^{3}} \times (m e t e r) = x \times 1.435 \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{3.0 \times 10^{3}} \cdot (m) = x \cdot 1.435 \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{3.0 \times 10^{3}} \cdot (m) = x \times 1.435 \times (m)

Conversion Equation

\frac{1.0}{3.0 \times 10^{3}} = x \times 1.435

Switch sides

x \times 1.435 = \frac{1.0}{3.0 \times 10^{3}}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.435})

x \times 1.435 \times \frac{1.0}{1.435} = \frac{1.0}{3.0 \times 10^{3}} \times \frac{1.0}{1.435}

Cancel

x \times 1.435 \times \frac{1.0}{1.435} = \frac{1.0 \times 1.0}{3.0 \times 10^{3} \times 1.435}

Simplify

x = \frac{1.0}{3.0 \times 10^{3} \times 1.435}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = \frac{10^{- 3}}{3.0 \times 1.435}

Solve

x

x \approx 0.000232288 \approx 2.3229 \times 10^{- 4}

Conversion Equation

1.0 (l i (厘)) \approx 2.3229 \times 10^{- 4} (g a u g e)

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