Convert sotka to mou(亩)

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

Calculation Breakdown

Set up the equation

1.0 (s o t k a) = 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 (s o t k a) = 10^{2} (s q u a r e m e t e r) = 10^{2} (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 (s o t k a) = x (m o u (亩))

Insert known values =>

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

Cancel SI units

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

Conversion Equation

10^{2} = x \times \frac{10^{4}}{15.0}

Cancel factors on both sides

Cancel factors

10^{2} = x \times \frac{{10^{4}}^{10^{2}}}{15.0}

Simplify

1.0 = x \times \frac{10^{2}}{15.0}

Switch sides

x \times \frac{10^{2}}{15.0} = 1.0

Isolate

x

Multiply both sides by

(\frac{15.0}{10^{2}})

x \times \frac{10^{2}}{15.0} \times \frac{15.0}{10^{2}} = \times \frac{15.0}{10^{2}}

Cancel

x \times \frac{10^{2} \times 15.0}{15.0 \times 10^{2}} = \frac{15.0}{10^{2}}

Simplify

x = \frac{15.0}{10^{2}}

Rewrite equation

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

Rewrite

x = 10^{- 2} \times 15.0

Solve

x

x = 0.15 = 1.5 \times 10^{- 1}

Conversion Equation

1.0 (s o t k a) = 1.5 \times 10^{- 1} (m o u (亩))

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