Convert cun(公寸) to linear inch

Learn how to convert 1 cun(公寸) to linear inch step by step.

Calculation Breakdown

Set up the equation

1.0 (c u n (公 寸)) = x (l i n e a r i n c h)

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 (公 寸)) = 10^{- 1} (m e t e r) = 10^{- 1} (m)

Right side: 1.0 (l i n e a r i n c h) = 0.0254 (m e t e r) = 0.0254 (m)

Insert known values into the conversion equation to determine

x

1.0 (c u n (公 寸)) = x (l i n e a r i n c h)

Insert known values =>

1.0 \times 10^{- 1} \times (m e t e r) = x \times 0.0254 \times (m e t e r)

Or

1.0 \cdot 10^{- 1} \cdot (m) = x \cdot 0.0254 \cdot (m)

Cancel SI units

1.0 \times 10^{- 1} \cdot (m) = x \times 0.0254 \times (m)

Conversion Equation

10^{- 1} = x \times 0.0254

Switch sides

x \times 0.0254 = 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.0254})

x \times 0.0254 \times \frac{1.0}{0.0254} = 10^{- 1} \times \frac{1.0}{0.0254}

Cancel

x \times 0.0254 \times \frac{1.0}{0.0254} = 10^{- 1} \times \frac{1.0}{0.0254}

Simplify

x = \frac{10^{- 1}}{0.0254}

Solve

x

x \approx 3.937007874 \approx 3.937

Conversion Equation

1.0 (c u n (公 寸)) \approx 3.937 (l i n e a r i n c h)

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