Convert barn to mou(亩)

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

Calculation Breakdown

Set up the equation

1.0 (b a r n) = 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 (b a r n) = 10^{- 28} (s q u a r e m e t e r) = 10^{- 28} (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 (b a r n) = x (m o u (亩))

Insert known values =>

1.0 \times 10^{- 28} \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^{- 28} \cdot (m^{2}) = x \cdot \frac{10^{4}}{15.0} \cdot (m^{2})

Cancel SI units

1.0 \times 10^{- 28} \cdot (m^{2}) = x \times \frac{10^{4}}{15.0} \times (m^{2})

Conversion Equation

10^{- 28} = x \times \frac{10^{4}}{15.0}

Switch sides

x \times \frac{10^{4}}{15.0} = 10^{- 28}

Isolate

x

Multiply both sides by

(\frac{15.0}{10^{4}})

x \times \frac{10^{4}}{15.0} \times \frac{15.0}{10^{4}} = 10^{- 28} \times \frac{15.0}{10^{4}}

Cancel

x \times \frac{10^{4} \times 15.0}{15.0 \times 10^{4}} = 10^{- 28} \times \frac{15.0}{10^{4}}

Simplify

x = \frac{10^{- 28} \times 15.0}{10^{4}}

Rewrite equation

\frac{1.0}{10^{4}} can be rewritten to 10^{- 4}

Rewrite

x = 10^{- 4} \times 10^{- 28} \times 15.0

Simplify

x = 10^{- 32} \times 15.0

Solve

x

x = 1.5 \times 10^{- 31}

Conversion Equation

1.0 (b a r n) = 1.5 \times 10^{- 31} (m o u (亩))

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