Convert rai to fang zhang(方丈)

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

Calculation Breakdown

Set up the equation

1.0 (r a i) = x (f a n g z h a n g (方 丈))

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 (r a i) = 1.6 \times 10^{3} (s q u a r e m e t e r) = 1.6 \times 10^{3} (m^{2})

Right 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})

Insert known values into the conversion equation to determine

x

1.0 (r a i) = x (f a n g z h a n g (方 丈))

Insert known values =>

1.0 \times 1.6 \times 10^{3} \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 1.6 \times 10^{3} \cdot (m^{2}) = x \cdot \frac{10^{2}}{9.0} \cdot (m^{2})

Cancel SI units

1.0 \times 1.6 \times 10^{3} \cdot (m^{2}) = x \times \frac{10^{2}}{9.0} \times (m^{2})

Conversion Equation

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

Cancel factors on both sides

Cancel factors

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

Switch sides

x \times \frac{1.0}{9.0} = 1.6 \times 10.0

Isolate

x

Multiply both sides by

(\frac{9.0}{1.0})

x \times \frac{1.0}{9.0} \times \frac{9.0}{1.0} = 1.6 \times 10.0 \times \frac{9.0}{1.0}

Cancel

x \times \frac{1.0 \times 9.0}{9.0 \times 1.0} = 1.6 \times 10.0 \times \frac{9.0}{1.0}

Simplify

x = 1.6 \times 10.0 \times 9.0

Solve

x

x = 144 = 1.44 \times 10^{2}

Conversion Equation

1.0 (r a i) = 1.44 \times 10^{2} (f a n g z h a n g (方 丈))

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