Convert tan(段) to tsubo(坪)

Learn how to convert 1 tan(段) to tsubo(坪) step by step.

Calculation Breakdown

Set up the equation

1.0 (t a n (段)) = x (t s u b o (坪))

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 (t a n (段)) = \frac{1.2 \times 10^{5}}{121.0} (s q u a r e m e t e r) = \frac{1.2 \times 10^{5}}{121.0} (m^{2})

Right side: 1.0 (t s u b o (坪)) = \frac{4.0 \times 10^{2}}{121.0} (s q u a r e m e t e r) = \frac{4.0 \times 10^{2}}{121.0} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (t a n (段)) = x (t s u b o (坪))

Insert known values =>

1.0 \times \frac{1.2 \times 10^{5}}{121.0} \times (s q u a r e m e t e r) = x \times \frac{4.0 \times 10^{2}}{121.0} \times (s q u a r e m e t e r)

Or

1.0 \cdot \frac{1.2 \times 10^{5}}{121.0} \cdot (m^{2}) = x \cdot \frac{4.0 \times 10^{2}}{121.0} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{1.2 \times 10^{5}}{121.0} \cdot (m^{2}) = x \times \frac{4.0 \times 10^{2}}{121.0} \times (m^{2})

Conversion Equation

\frac{1.2 \times 10^{5}}{121.0} = x \times \frac{4.0 \times 10^{2}}{121.0}

Cancel factors on both sides

Cancel factors

\frac{1.2 \times {10^{5}}^{10^{3}}}{121.0} = x \times \frac{4.0 \times 10^{2}}{121.0}

Simplify

1.2 \times 10^{3} = x \times 4.0

Switch sides

x \times 4.0 = 1.2 \times 10^{3}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.0})

x \times 4.0 \times \frac{1.0}{4.0} = 1.2 \times 10^{3} \times \frac{1.0}{4.0}

Cancel

x \times 4.0 \times \frac{1.0}{4.0} = 1.2 \times 10^{3} \times \frac{1.0}{4.0}

Simplify

x = \frac{1.2 \times 10^{3}}{4.0}

Solve

x

x = 300 = 3 \times 10^{2}

Conversion Equation

1.0 (t a n (段)) = 3 \times 10^{2} (t s u b o (坪))

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