Convert fang chi(方尺) to go(合)

Learn how to convert 1 fang chi(方尺) to go(合) step by step.

Calculation Breakdown

Set up the equation

1.0 (f a n g c h i (方 尺)) = x (g o (合))

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 (g o (合)) = \frac{2.0 \times 10^{2}}{121.0} (s q u a r e m e t e r) = \frac{2.0 \times 10^{2}}{121.0} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (f a n g c h i (方 尺)) = x (g o (合))

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^{2}}{121.0} \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^{2}}{121.0} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{1.0}{9.0} \cdot (m^{2}) = x \times \frac{2.0 \times 10^{2}}{121.0} \times (m^{2})

Conversion Equation

\frac{1.0}{9.0} = x \times \frac{2.0 \times 10^{2}}{121.0}

Switch sides

x \times \frac{2.0 \times 10^{2}}{121.0} = \frac{1.0}{9.0}

Isolate

x

Multiply both sides by

(\frac{121.0}{2.0 \times 10^{2}})

x \times \frac{2.0 \times 10^{2}}{121.0} \times \frac{121.0}{2.0 \times 10^{2}} = \frac{1.0}{9.0} \times \frac{121.0}{2.0 \times 10^{2}}

Cancel

x \times \frac{2.0 \times 10^{2} \times 121.0}{121.0 \times 2.0 \times 10^{2}} = \frac{1.0 \times 121.0}{9.0 \times 2.0 \times 10^{2}}

Simplify

x = \frac{121.0}{9.0 \times 2.0 \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 2.0}

Solve

x

x \approx 0.0672222222 \approx 6.7222 \times 10^{- 2}

Conversion Equation

1.0 (f a n g c h i (方 尺)) \approx 6.7222 \times 10^{- 2} (g o (合))

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