Convert fall to fang cun(方寸)

Learn how to convert 1 fall to fang cun(方寸) step by step.

Calculation Breakdown

Set up the equation

1.0 (f a l l) = x (f a n g c u n (方 寸))

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 l l) = 31.89877441 (s q u a r e m e t e r) = 31.89877441 (m^{2})

Right side: 1.0 (f a n g c u n (方 寸)) = \frac{10^{- 2}}{9.0} (s q u a r e m e t e r) = \frac{10^{- 2}}{9.0} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (f a l l) = x (f a n g c u n (方 寸))

Insert known values =>

1.0 \times 31.89877441 \times (s q u a r e m e t e r) = x \times \frac{10^{- 2}}{9.0} \times (s q u a r e m e t e r)

Or

1.0 \cdot 31.89877441 \cdot (m^{2}) = x \cdot \frac{10^{- 2}}{9.0} \cdot (m^{2})

Cancel SI units

1.0 \times 31.89877441 \cdot (m^{2}) = x \times \frac{10^{- 2}}{9.0} \times (m^{2})

Conversion Equation

31.89877441 = x \times \frac{10^{- 2}}{9.0}

Switch sides

x \times \frac{10^{- 2}}{9.0} = 31.89877441

Isolate

x

Multiply both sides by

(\frac{9.0}{10^{- 2}})

x \times \frac{10^{- 2}}{9.0} \times \frac{9.0}{10^{- 2}} = 31.89877441 \times \frac{9.0}{10^{- 2}}

Cancel

x \times \frac{10^{- 2} \times 9.0}{9.0 \times 10^{- 2}} = 31.89877441 \times \frac{9.0}{10^{- 2}}

Simplify

x = \frac{31.89877441 \times 9.0}{10^{- 2}}

Rewrite equation

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

Rewrite

x = 10^{2} \times 31.89877441 \times 9.0

Solve

x

x = 28708.896969 \approx 2.8709 \times 10^{4}

Conversion Equation

1.0 (f a l l) \approx 2.8709 \times 10^{4} (f a n g c u n (方 寸))

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