Convert qing(顷) to mou(亩)

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

Calculation Breakdown

Set up the equation

1.0 (q i n g (顷)) = x (m o u (亩))

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 (q i n g (顷)) = \frac{2.0 \times 10^{5}}{3.0} (s q u a r e m e t e r) = \frac{2.0 \times 10^{5}}{3.0} (m^{2})

Right 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})

Insert known values into the conversion equation to determine

x

1.0 (q i n g (顷)) = x (m o u (亩))

Insert known values =>

1.0 \times \frac{2.0 \times 10^{5}}{3.0} \times (s q u a r e m e t e r) = x \times \frac{10^{4}}{15.0} \times (s q u a r e m e t e r)

Or

1.0 \cdot \frac{2.0 \times 10^{5}}{3.0} \cdot (m^{2}) = x \cdot \frac{10^{4}}{15.0} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{2.0 \times 10^{5}}{3.0} \cdot (m^{2}) = x \times \frac{10^{4}}{15.0} \times (m^{2})

Conversion Equation

\frac{2.0 \times 10^{5}}{3.0} = x \times \frac{10^{4}}{15.0}

Cancel factors on both sides

Cancel factors

\frac{2.0 \times {10^{5}}^{10}}{3.0} = x \times \frac{10^{4}}{15.0}

Switch sides

x \times \frac{1.0}{15.0} = \frac{2.0 \times 10.0}{3.0}

Isolate

x

Multiply both sides by

(\frac{15.0}{1.0})

x \times \frac{1.0}{15.0} \times \frac{15.0}{1.0} = \frac{2.0 \times 10.0}{3.0} \times \frac{15.0}{1.0}

Cancel

x \times \frac{1.0 \times 15.0}{15.0 \times 1.0} = \frac{2.0 \times 10.0 \times 15.0}{3.0 \times 1.0}

Simplify

x = \frac{2.0 \times 10.0 \times 15.0}{3.0}

Solve

x

x = 100

Conversion Equation

1.0 (q i n g (顷)) = 100 (m o u (亩))

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