Convert qing(顷) to football field

Learn how to convert 1 qing(顷) to football field step by step.

Calculation Breakdown

Set up the equation

1.0 (q i n g (顷)) = x (f o o t b a l l f i e l d)

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 (f o o t b a l l f i e l d) = 5351.215104 (s q u a r e m e t e r) = 5351.215104 (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (q i n g (顷)) = x (f o o t b a l l f i e l d)

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 5351.215104 \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 5351.215104 \cdot (m^{2})

Cancel SI units

1.0 \times \frac{2.0 \times 10^{5}}{3.0} \cdot (m^{2}) = x \times 5351.215104 \times (m^{2})

Conversion Equation

\frac{2.0 \times 10^{5}}{3.0} = x \times 5351.215104

Switch sides

x \times 5351.215104 = \frac{2.0 \times 10^{5}}{3.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{5351.215104})

x \times 5351.215104 \times \frac{1.0}{5351.215104} = \frac{2.0 \times 10^{5}}{3.0} \times \frac{1.0}{5351.215104}

Cancel

x \times 5351.215104 \times \frac{1.0}{5351.215104} = \frac{2.0 \times 10^{5} \times 1.0}{3.0 \times 5351.215104}

Simplify

x = \frac{2.0 \times 10^{5}}{3.0 \times 5351.215104}

Solve

x

x \approx 12.458229649 \approx 12.4582

Conversion Equation

1.0 (q i n g (顷)) \approx 12.4582 (f o o t b a l l f i e l d)

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