Convert fang chi(方尺) to qing(顷)

Learn how to convert 1 fang chi(方尺) to qing(顷) step by step.

Calculation Breakdown

Set up the equation

1.0 (f a n g c h i (方 尺)) = x (q i n g (顷))

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 (q i n g (顷)) = \frac{2.0 \times 10^{5}}{3.0} (s q u a r e m e t e r) = \frac{2.0 \times 10^{5}}{3.0} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (f a n g c h i (方 尺)) = x (q i n g (顷))

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 \frac{2.0 \times 10^{5}}{3.0} \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 \frac{2.0 \times 10^{5}}{3.0} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{1.0}{9.0} \cdot (m^{2}) = x \times \frac{2.0 \times 10^{5}}{3.0} \times (m^{2})

Conversion Equation

\frac{1.0}{9.0} = x \times \frac{2.0 \times 10^{5}}{3.0}

Switch sides

x \times \frac{2.0 \times 10^{5}}{3.0} = \frac{1.0}{9.0}

Isolate

x

Multiply both sides by

(\frac{3.0}{2.0 \times 10^{5}})

x \times \frac{2.0 \times 10^{5}}{3.0} \times \frac{3.0}{2.0 \times 10^{5}} = \frac{1.0}{9.0} \times \frac{3.0}{2.0 \times 10^{5}}

Cancel

x \times \frac{2.0 \times 10^{5} \times 3.0}{3.0 \times 2.0 \times 10^{5}} = \frac{1.0 \times 3.0}{9.0 \times 2.0 \times 10^{5}}

Simplify

x = \frac{3.0}{9.0 \times 2.0 \times 10^{5}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 5} \times 3.0}{9.0 \times 2.0}

Solve

x

x \approx 0.0000016667 \approx 1.6667 \times 10^{- 6}

Conversion Equation

1.0 (f a n g c h i (方 尺)) \approx 1.6667 \times 10^{- 6} (q i n g (顷))

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