Convert cun(寸) to thou

Learn how to convert 1 cun(寸) to thou step by step.

Calculation Breakdown

Set up the equation

1.0 (c u n (寸)) = x (t h o u)

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (c u n (寸)) = \frac{1.0}{30.0} (m e t e r) = \frac{1.0}{30.0} (m)

Right side: 1.0 (t h o u) = 2.54 \times 10^{- 5} (m e t e r) = 2.54 \times 10^{- 5} (m)

Insert known values into the conversion equation to determine

x

1.0 (c u n (寸)) = x (t h o u)

Insert known values =>

1.0 \times \frac{1.0}{30.0} \times (m e t e r) = x \times 2.54 \times 10^{- 5} \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{30.0} \cdot (m) = x \cdot 2.54 \times 10^{- 5} \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{30.0} \cdot (m) = x \times 2.54 \times 10^{- 5} \times (m)

Conversion Equation

\frac{1.0}{30.0} = x \times 2.54 \times 10^{- 5}

Switch sides

x \times 2.54 \times 10^{- 5} = \frac{1.0}{30.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.54 \times 10^{- 5}})

x \times 2.54 \times 10^{- 5} \times \frac{1.0}{2.54 \times 10^{- 5}} = \frac{1.0}{30.0} \times \frac{1.0}{2.54 \times 10^{- 5}}

Cancel

x \times 2.54 \times 10^{- 5} \times \frac{1.0}{2.54 \times 10^{- 5}} = \frac{1.0 \times 1.0}{30.0 \times 2.54 \times 10^{- 5}}

Simplify

x = \frac{1.0}{30.0 \times 2.54 \times 10^{- 5}}

Rewrite equation

\frac{1.0}{10^{- 5}} can be rewritten to 10^{5}

Rewrite

x = \frac{10^{5}}{30.0 \times 2.54}

Solve

x

x \approx 1312.335958 \approx 1.3123 \times 10^{3}

Conversion Equation

1.0 (c u n (寸)) \approx 1.3123 \times 10^{3} (t h o u)

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