Convert fang chi(方尺) to lane meter

Learn how to convert 1 fang chi(方尺) to lane meter step by step.

Calculation Breakdown

Set up the equation

1.0 (f a n g c h i (方 尺)) = x (l a n e m e t e r)

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 (f a n g c h i (方 尺)) = \frac{1.0}{9.0} (s q u a r e m e t e r) = \frac{1.0}{9.0} (m^{2})

Right side: 1.0 (l a n e m e t e r) = 2.0 (s q u a r e m e t e r) = 2.0 (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (f a n g c h i (方 尺)) = x (l a n e m e t e r)

Insert known values =>

1.0 \times \frac{1.0}{9.0} \times (s q u a r e m e t e r) = x \times 2.0 \times (s q u a r e m e t e r)

Or

1.0 \cdot \frac{1.0}{9.0} \cdot (m^{2}) = x \cdot 2.0 \cdot (m^{2})

Cancel SI units

1.0 \times \frac{1.0}{9.0} \cdot (m^{2}) = x \times 2.0 \times (m^{2})

Conversion Equation

\frac{1.0}{9.0} = x \times 2.0

Switch sides

x \times 2.0 = \frac{1.0}{9.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.0})

x \times 2.0 \times \frac{1.0}{2.0} = \frac{1.0}{9.0} \times \frac{1.0}{2.0}

Cancel

x \times 2.0 \times \frac{1.0}{2.0} = \frac{1.0 \times 1.0}{9.0 \times 2.0}

Simplify

x = \frac{1.0}{9.0 \times 2.0}

Solve

x

x \approx 0.0555555556 \approx 5.5556 \times 10^{- 2}

Conversion Equation

1.0 (f a n g c h i (方 尺)) \approx 5.5556 \times 10^{- 2} (l a n e m e t e r)

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