Convert tan(段) to fang cun(方寸)

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

Calculation Breakdown

Set up the equation

1.0 (t a n (段)) = 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 (t a n (段)) = \frac{1.2 \times 10^{5}}{121.0} (s q u a r e m e t e r) = \frac{1.2 \times 10^{5}}{121.0} (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 (t a n (段)) = x (f a n g c u n (方 寸))

Insert known values =>

1.0 \times \frac{1.2 \times 10^{5}}{121.0} \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 \frac{1.2 \times 10^{5}}{121.0} \cdot (m^{2}) = x \cdot \frac{10^{- 2}}{9.0} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{1.2 \times 10^{5}}{121.0} \cdot (m^{2}) = x \times \frac{10^{- 2}}{9.0} \times (m^{2})

Conversion Equation

\frac{1.2 \times 10^{5}}{121.0} = x \times \frac{10^{- 2}}{9.0}

Switch sides

x \times \frac{10^{- 2}}{9.0} = \frac{1.2 \times 10^{5}}{121.0}

Isolate

x

Multiply both sides by

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

x \times \frac{10^{- 2}}{9.0} \times \frac{9.0}{10^{- 2}} = \frac{1.2 \times 10^{5}}{121.0} \times \frac{9.0}{10^{- 2}}

Cancel

x \times \frac{10^{- 2} \times 9.0}{9.0 \times 10^{- 2}} = \frac{1.2 \times 10^{5} \times 9.0}{121.0 \times 10^{- 2}}

Simplify

x = \frac{1.2 \times 10^{5} \times 9.0}{121.0 \times 10^{- 2}}

Rewrite equation

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

Rewrite

x = \frac{10^{2} \times 1.2 \times 10^{5} \times 9.0}{121.0}

Simplify

x = \frac{10^{7} \times 1.2 \times 9.0}{121.0}

Solve

x

x \approx 892561.98347 \approx 8.9256 \times 10^{5}

Conversion Equation

1.0 (t a n (段)) \approx 8.9256 \times 10^{5} (f a n g c u n (方 寸))

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