Convert fang cun(方寸) to column inch

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

Calculation Breakdown

Set up the equation

1.0 (f a n g c u n (方 寸)) = x (c o l u m n i n c h)

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 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})

Right side: 1.0 (c o l u m n i n c h) = 1.331 \times 10^{- 3} (s q u a r e m e t e r) = 1.331 \times 10^{- 3} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (f a n g c u n (方 寸)) = x (c o l u m n i n c h)

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 1.331 \times 10^{- 3} \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 1.331 \times 10^{- 3} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{10^{- 2}}{9.0} \cdot (m^{2}) = x \times 1.331 \times 10^{- 3} \times (m^{2})

Conversion Equation

\frac{10^{- 2}}{9.0} = x \times 1.331 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

\frac{10^{- 2}}{9.0} = x \times 1.331 \times {10^{- 3}}^{10^{- 1}}

Switch sides

x \times 1.331 \times 10^{- 1} = \frac{1.0}{9.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.331 \times 10^{- 1}})

x \times 1.331 \times 10^{- 1} \times \frac{1.0}{1.331 \times 10^{- 1}} = \frac{1.0}{9.0} \times \frac{1.0}{1.331 \times 10^{- 1}}

Cancel

x \times 1.331 \times 10^{- 1} \times \frac{1.0}{1.331 \times 10^{- 1}} = \frac{1.0 \times 1.0}{9.0 \times 1.331 \times 10^{- 1}}

Simplify

x = \frac{1.0}{9.0 \times 1.331 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0}{9.0 \times 1.331}

Solve

x

x \approx 0.8347942232 \approx 8.3479 \times 10^{- 1}

Conversion Equation

1.0 (f a n g c u n (方 寸)) \approx 8.3479 \times 10^{- 1} (c o l u m n i n c h)

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