Convert fang zhang(方丈) to cawney

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

Calculation Breakdown

Set up the equation

1.0 (f a n g z h a n g (方 丈)) = x (c a w n e y)

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 (c a w n e y) = 5.4 \times 10^{3} (s q u a r e m e t e r) = 5.4 \times 10^{3} (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 (c a w n e y)

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 5.4 \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 5.4 \times 10^{3} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{10^{2}}{9.0} \cdot (m^{2}) = x \times 5.4 \times 10^{3} \times (m^{2})

Conversion Equation

\frac{10^{2}}{9.0} = x \times 5.4 \times 10^{3}

Cancel factors on both sides

Cancel factors

\frac{10^{2}}{9.0} = x \times 5.4 \times {10^{3}}^{10}

Switch sides

x \times 5.4 \times 10.0 = \frac{1.0}{9.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{5.4 \times 10.0})

x \times 5.4 \times 10.0 \times \frac{1.0}{5.4 \times 10.0} = \frac{1.0}{9.0} \times \frac{1.0}{5.4 \times 10.0}

Cancel

x \times 5.4 \times 10.0 \times \frac{1.0}{5.4 \times 10.0} = \frac{1.0 \times 1.0}{9.0 \times 5.4 \times 10.0}

Simplify

x = \frac{1.0}{9.0 \times 5.4 \times 10.0}

Solve

x

x \approx 0.0020576132 \approx 2.0576 \times 10^{- 3}

Conversion Equation

1.0 (f a n g z h a n g (方 丈)) \approx 2.0576 \times 10^{- 3} (c a w n e y)

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