Convert qing(顷) to Shaku(勺)

Learn how to convert 1 qing(顷) to Shaku(勺) step by step.

Calculation Breakdown

Set up the equation

1.0 (q i n g (顷)) = x (S h a k u (勺))

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 (S h a k u (勺)) = \frac{4.0}{121.0} (s q u a r e m e t e r) = \frac{4.0}{121.0} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (q i n g (顷)) = x (S h a k u (勺))

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{4.0}{121.0} \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{4.0}{121.0} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{2.0 \times 10^{5}}{3.0} \cdot (m^{2}) = x \times \frac{4.0}{121.0} \times (m^{2})

Conversion Equation

\frac{2.0 \times 10^{5}}{3.0} = x \times \frac{4.0}{121.0}

Switch sides

x \times \frac{4.0}{121.0} = \frac{2.0 \times 10^{5}}{3.0}

Isolate

x

Multiply both sides by

(\frac{121.0}{4.0})

x \times \frac{4.0}{121.0} \times \frac{121.0}{4.0} = \frac{2.0 \times 10^{5}}{3.0} \times \frac{121.0}{4.0}

Cancel

x \times \frac{4.0 \times 121.0}{121.0 \times 4.0} = \frac{2.0 \times 10^{5} \times 121.0}{3.0 \times 4.0}

Simplify

x = \frac{2.0 \times 10^{5} \times 121.0}{3.0 \times 4.0}

Solve

x

x \approx 2016666.6667 \approx 2.0167 \times 10^{6}

Conversion Equation

1.0 (q i n g (顷)) \approx 2.0167 \times 10^{6} (S h a k u (勺))

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