Convert cun(寸) to ell

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

Calculation Breakdown

Set up the equation

1.0 (c u n (寸)) = x (e l l)

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 (e l l) = 1.143 (m e t e r) = 1.143 (m)

Insert known values into the conversion equation to determine

x

1.0 (c u n (寸)) = x (e l l)

Insert known values =>

1.0 \times \frac{1.0}{30.0} \times (m e t e r) = x \times 1.143 \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{30.0} \cdot (m) = x \cdot 1.143 \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{30.0} \cdot (m) = x \times 1.143 \times (m)

Conversion Equation

\frac{1.0}{30.0} = x \times 1.143

Switch sides

x \times 1.143 = \frac{1.0}{30.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.143})

x \times 1.143 \times \frac{1.0}{1.143} = \frac{1.0}{30.0} \times \frac{1.0}{1.143}

Cancel

x \times 1.143 \times \frac{1.0}{1.143} = \frac{1.0 \times 1.0}{30.0 \times 1.143}

Simplify

x = \frac{1.0}{30.0 \times 1.143}

Solve

x

x \approx 0.0291630213 \approx 2.9163 \times 10^{- 2}

Conversion Equation

1.0 (c u n (寸)) \approx 2.9163 \times 10^{- 2} (e l l)

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