Convert rood to go(合)

Learn how to convert 1 rood to go(合) step by step.

Calculation Breakdown

Set up the equation

1.0 (r o o d) = x (g o (合))

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 o o d) = 1011.7141056 (s q u a r e m e t e r) = 1011.7141056 (m^{2})

Right side: 1.0 (g o (合)) = \frac{2.0 \times 10^{2}}{121.0} (s q u a r e m e t e r) = \frac{2.0 \times 10^{2}}{121.0} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (r o o d) = x (g o (合))

Insert known values =>

1.0 \times 1011.7141056 \times (s q u a r e m e t e r) = x \times \frac{2.0 \times 10^{2}}{121.0} \times (s q u a r e m e t e r)

Or

1.0 \cdot 1011.7141056 \cdot (m^{2}) = x \cdot \frac{2.0 \times 10^{2}}{121.0} \cdot (m^{2})

Cancel SI units

1.0 \times 1011.7141056 \cdot (m^{2}) = x \times \frac{2.0 \times 10^{2}}{121.0} \times (m^{2})

Conversion Equation

1011.7141056 = x \times \frac{2.0 \times 10^{2}}{121.0}

Switch sides

x \times \frac{2.0 \times 10^{2}}{121.0} = 1011.7141056

Isolate

x

Multiply both sides by

(\frac{121.0}{2.0 \times 10^{2}})

x \times \frac{2.0 \times 10^{2}}{121.0} \times \frac{121.0}{2.0 \times 10^{2}} = 1011.7141056 \times \frac{121.0}{2.0 \times 10^{2}}

Cancel

x \times \frac{2.0 \times 10^{2} \times 121.0}{121.0 \times 2.0 \times 10^{2}} = 1011.7141056 \times \frac{121.0}{2.0 \times 10^{2}}

Simplify

x = \frac{1011.7141056 \times 121.0}{2.0 \times 10^{2}}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times 1011.7141056 \times 121.0}{2.0}

Solve

x

x = 612.08703389 \approx 6.1209 \times 10^{2}

Conversion Equation

1.0 (r o o d) \approx 6.1209 \times 10^{2} (g o (合))

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