Convert fang zhang(方丈) to se(畝)

Learn how to convert 1 fang zhang(方丈) to se(畝) step by step.

Calculation Breakdown

Set up the equation

1.0 (f a n g z h a n g (方 丈)) = x (s e (畝))

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 z h a n g (方 丈)) = \frac{10^{2}}{9.0} (s q u a r e m e t e r) = \frac{10^{2}}{9.0} (m^{2})

Right side: 1.0 (s e (畝)) = \frac{1.2 \times 10^{4}}{121.0} (s q u a r e m e t e r) = \frac{1.2 \times 10^{4}}{121.0} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (f a n g z h a n g (方 丈)) = x (s e (畝))

Insert known values =>

1.0 \times \frac{10^{2}}{9.0} \times (s q u a r e m e t e r) = x \times \frac{1.2 \times 10^{4}}{121.0} \times (s q u a r e m e t e r)

Or

1.0 \cdot \frac{10^{2}}{9.0} \cdot (m^{2}) = x \cdot \frac{1.2 \times 10^{4}}{121.0} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{10^{2}}{9.0} \cdot (m^{2}) = x \times \frac{1.2 \times 10^{4}}{121.0} \times (m^{2})

Conversion Equation

\frac{10^{2}}{9.0} = x \times \frac{1.2 \times 10^{4}}{121.0}

Cancel factors on both sides

Cancel factors

\frac{10^{2}}{9.0} = x \times \frac{1.2 \times {10^{4}}^{10^{2}}}{121.0}

Switch sides

x \times \frac{1.2 \times 10^{2}}{121.0} = \frac{1.0}{9.0}

Isolate

x

Multiply both sides by

(\frac{121.0}{1.2 \times 10^{2}})

x \times \frac{1.2 \times 10^{2}}{121.0} \times \frac{121.0}{1.2 \times 10^{2}} = \frac{1.0}{9.0} \times \frac{121.0}{1.2 \times 10^{2}}

Cancel

x \times \frac{1.2 \times 10^{2} \times 121.0}{121.0 \times 1.2 \times 10^{2}} = \frac{1.0 \times 121.0}{9.0 \times 1.2 \times 10^{2}}

Simplify

x = \frac{121.0}{9.0 \times 1.2 \times 10^{2}}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times 121.0}{9.0 \times 1.2}

Solve

x

x \approx 0.112037037 \approx 1.1204 \times 10^{- 1}

Conversion Equation

1.0 (f a n g z h a n g (方 丈)) \approx 1.1204 \times 10^{- 1} (s e (畝))

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