Convert mu(亩) to rai

Learn how to convert 1 mu(亩) to rai step by step.

Calculation Breakdown

Set up the equation

1.0 (m u (亩)) = x (r a i)

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 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 (r a i) = 1.6 \times 10^{3} (s q u a r e m e t e r) = 1.6 \times 10^{3} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (m u (亩)) = x (r a i)

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 1.6 \times 10^{3} \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 1.6 \times 10^{3} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{10^{4}}{15.0} \cdot (m^{2}) = x \times 1.6 \times 10^{3} \times (m^{2})

Conversion Equation

\frac{10^{4}}{15.0} = x \times 1.6 \times 10^{3}

Cancel factors on both sides

Cancel factors

\frac{{10^{4}}^{10}}{15.0} = x \times 1.6 \times 10^{3}

Simplify

\frac{10.0}{15.0} = x \times 1.6

Switch sides

x \times 1.6 = \frac{10.0}{15.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.6})

x \times 1.6 \times \frac{1.0}{1.6} = \frac{10.0}{15.0} \times \frac{1.0}{1.6}

Cancel

x \times 1.6 \times \frac{1.0}{1.6} = \frac{10.0 \times 1.0}{15.0 \times 1.6}

Simplify

x = \frac{10.0}{15.0 \times 1.6}

Solve

x

x \approx 0.4166666667 \approx 4.1667 \times 10^{- 1}

Conversion Equation

1.0 (m u (亩)) \approx 4.1667 \times 10^{- 1} (r a i)

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