Convert mou(亩) to virgate

Learn how to convert 1 mou(亩) to virgate step by step.

Calculation Breakdown

Set up the equation

1.0 (m o u (亩)) = x (v i r g a t e)

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 (m o u (亩)) = \frac{10^{4}}{15.0} (s q u a r e m e t e r) = \frac{10^{4}}{15.0} (m^{2})

Right side: 1.0 (v i r g a t e) = 1.2 \times 10^{5} (s q u a r e m e t e r) = 1.2 \times 10^{5} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (m o u (亩)) = x (v i r g a t e)

Insert known values =>

1.0 \times \frac{10^{4}}{15.0} \times (s q u a r e m e t e r) = x \times 1.2 \times 10^{5} \times (s q u a r e m e t e r)

Or

1.0 \cdot \frac{10^{4}}{15.0} \cdot (m^{2}) = x \cdot 1.2 \times 10^{5} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{10^{4}}{15.0} \cdot (m^{2}) = x \times 1.2 \times 10^{5} \times (m^{2})

Conversion Equation

\frac{10^{4}}{15.0} = x \times 1.2 \times 10^{5}

Cancel factors on both sides

Cancel factors

\frac{10^{4}}{15.0} = x \times 1.2 \times {10^{5}}^{10}

Switch sides

x \times 1.2 \times 10.0 = \frac{1.0}{15.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.2 \times 10.0})

x \times 1.2 \times 10.0 \times \frac{1.0}{1.2 \times 10.0} = \frac{1.0}{15.0} \times \frac{1.0}{1.2 \times 10.0}

Cancel

x \times 1.2 \times 10.0 \times \frac{1.0}{1.2 \times 10.0} = \frac{1.0 \times 1.0}{15.0 \times 1.2 \times 10.0}

Simplify

x = \frac{1.0}{15.0 \times 1.2 \times 10.0}

Solve

x

x \approx 0.0055555556 \approx 5.5556 \times 10^{- 3}

Conversion Equation

1.0 (m o u (亩)) \approx 5.5556 \times 10^{- 3} (v i r g a t e)

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